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Numerical Solutions of Boundary Value Problems with Finite Difference Method (Hardcover): Sujaul Chowdhury, Ponkog Kumar Das,... Numerical Solutions of Boundary Value Problems with Finite Difference Method (Hardcover)
Sujaul Chowdhury, Ponkog Kumar Das, Syed Badiuzzaman Faruque
R1,781 Discovery Miles 17 810 Ships in 10 - 15 working days

This book contains an extensive illustration of use of finite difference method in solving the boundary value problem numerically. A wide class of differential equations has been numerically solved in this book. Starting with differential equations of elementary functions like hyperbolic, sine and cosine, we have solved those of special functions like Hermite, Laguerre and Legendre. Those of Airy function, of stationary localised wavepacket, of the quantum mechanical problem of a particle in a 1D box, and the polar equation of motion under gravitational interaction have also been solved. Mathematica 6.0 has been used to solve the system of linear equations that we encountered and to plot the numerical data. Comparison with known analytic solutions showed nearly perfect agreement in every case. On reading this book, readers will become adept in using the method.

Numerical Solutions of Initial Value Problems Using Mathematica (Hardcover): Sujaul Chowdhury, Ponkog Kumar Das Numerical Solutions of Initial Value Problems Using Mathematica (Hardcover)
Sujaul Chowdhury, Ponkog Kumar Das
R1,542 Discovery Miles 15 420 Ships in 10 - 15 working days

The book contains a detailed account of numerical solutions of differential equations of elementary problems of Physics using Euler and 2nd order Runge-Kutta methods and Mathematica 6.0. The problems are motion under constant force (free fall), motion under Hooke's law force (simple harmonic motion), motion under combination of Hooke's law force and a velocity dependent damping force (damped harmonic motion) and radioactive decay law. Also included are uses of Mathematica in dealing with complex numbers, in solving system of linear equations, in carrying out differentiation and integration, and in dealing with matrices.

Numerical Solutions of Boundary Value Problems of Non-linear Differential Equations (Hardcover): Sujaul Chowdhury, Syed... Numerical Solutions of Boundary Value Problems of Non-linear Differential Equations (Hardcover)
Sujaul Chowdhury, Syed Badiuzzaman Faruque, Ponkog Kumar Das
R1,547 Discovery Miles 15 470 Ships in 12 - 17 working days

The book presents in comprehensive detail numerical solutions to boundary value problems of a number of non-linear differential equations. Replacing derivatives by finite difference approximations in these differential equations leads to a system of non-linear algebraic equations which we have solved using Newton's iterative method. In each case, we have also obtained Euler solutions and ascertained that the iterations converge to Euler solutions. We find that, except for the boundary values, initial values of the 1st iteration need not be anything close to the final convergent values of the numerical solution. Programs in Mathematica 6.0 were written to obtain the numerical solutions.

Monte Carlo Methods - A Hands-On Computational Introduction Utilizing Excel (Paperback): Sujaul Chowdhury Monte Carlo Methods - A Hands-On Computational Introduction Utilizing Excel (Paperback)
Sujaul Chowdhury
R1,553 Discovery Miles 15 530 Ships in 10 - 15 working days

This book is intended for undergraduate students of Mathematics, Statistics, and Physics who know nothing about Monte Carlo Methods but wish to know how they work. All treatments have been done as much manually as is practicable. The treatments are deliberately manual to let the readers get the real feel of how Monte Carlo Methods work. Definite integrals of a total of five functions ( ), namely Sin( ), Cos( ), e , loge( ), and 1/(1+ 2), have been evaluated using constant, linear, Gaussian, and exponential probability density functions ( ). It is shown that results agree with known exact values better if ( ) is proportional to ( ). Deviation from the proportionality results in worse agreement. This book is on Monte Carlo Methods which are numerical methods for Computational Physics. These are parts of a syllabus for undergraduate students of Mathematics and Physics for the course titled "Computational Physics." Need for the book: Besides the three referenced books, this is the only book that teaches how basic Monte Carlo methods work. This book is much more explicit and easier to follow than the three referenced books. The two chapters on the Variational Quantum Monte Carlo method are additional contributions of the book. Pedagogical features: After a thorough acquaintance with background knowledge in Chapter 1, five thoroughly worked out examples on how to carry out Monte Carlo integration is included in Chapter 2. Moreover, the book contains two chapters on the Variational Quantum Monte Carlo method applied to a simple harmonic oscillator and a hydrogen atom. The book is a good read; it is intended to make readers adept at using the method. The book is intended to aid in hands-on learning of the Monte Carlo methods.

Numerical Solutions of Boundary Value Problems with Finite Difference Method (Paperback): Sujaul Chowdhury, Ponkog Kumar Das,... Numerical Solutions of Boundary Value Problems with Finite Difference Method (Paperback)
Sujaul Chowdhury, Ponkog Kumar Das, Syed Badiuzzaman Faruque
R1,242 Discovery Miles 12 420 Ships in 10 - 15 working days

This book contains an extensive illustration of use of finite difference method in solving the boundary value problem numerically. A wide class of differential equations has been numerically solved in this book. Starting with differential equations of elementary functions like hyperbolic, sine and cosine, we have solved those of special functions like Hermite, Laguerre and Legendre. Those of Airy function, of stationary localised wavepacket, of the quantum mechanical problem of a particle in a 1D box, and the polar equation of motion under gravitational interaction have also been solved. Mathematica 6.0 has been used to solve the system of linear equations that we encountered and to plot the numerical data. Comparison with known analytic solutions showed nearly perfect agreement in every case. On reading this book, readers will become adept in using the method.

Numerical Solutions of Initial Value Problems Using Mathematica (Paperback): Sujaul Chowdhury, Ponkog Kumar Das Numerical Solutions of Initial Value Problems Using Mathematica (Paperback)
Sujaul Chowdhury, Ponkog Kumar Das
R820 Discovery Miles 8 200 Ships in 10 - 15 working days

The book contains a detailed account of numerical solutions of differential equations of a number of elementary problems of physics using Euler and second order Runge-Kutta methods using Mathematica 6.0. The problems are motion under constant force (free fall), motion under Hooke's law force (simple harmonic motion), motion under combination of Hooke's law force and a velocity dependent damping force (damped harmonic motion) and radioactive decay law. Also included are uses of Mathematica in dealing with complex numbers, in solving system of linear equations, in carrying out differentiation and integration, and in dealing with matrices.

Numerical Solutions of Boundary Value Problems with Finite Difference Method (Paperback): Sujaul Chowdhury, Ponkog Kumar Das,... Numerical Solutions of Boundary Value Problems with Finite Difference Method (Paperback)
Sujaul Chowdhury, Ponkog Kumar Das, Syed Badiuzzaman Faruque
R820 Discovery Miles 8 200 Ships in 10 - 15 working days

Containing an extensive illustration of the use of finite difference method in solving boundary value problem numerically, a wide class of differential equations have been numerically solved in this book.

Numerical Solutions of Initial Value Problems Using Mathematica (Paperback): Sujaul Chowdhury, Ponkog Kumar Das Numerical Solutions of Initial Value Problems Using Mathematica (Paperback)
Sujaul Chowdhury, Ponkog Kumar Das
R1,003 Discovery Miles 10 030 Ships in 10 - 15 working days

The book contains a detailed account of numerical solutions of differential equations of elementary problems of Physics using Euler and 2nd order Runge-Kutta methods and Mathematica 6.0. The problems are motion under constant force (free fall), motion under Hooke's law force (simple harmonic motion), motion under combination of Hooke's law force and a velocity dependent damping force (damped harmonic motion) and radioactive decay law. Also included are uses of Mathematica in dealing with complex numbers, in solving system of linear equations, in carrying out differentiation and integration, and in dealing with matrices.

Nanostructure Physics of a Quantum Well adjacent to a tunnel barrier - Analytical calculation and numerical investigations of... Nanostructure Physics of a Quantum Well adjacent to a tunnel barrier - Analytical calculation and numerical investigations of transcendental equations obeyed by quasi-bound energy levels (Paperback)
Sujaul Chowdhury, Zuned Ahmed, Emrul Hasan
R1,446 Discovery Miles 14 460 Ships in 10 - 15 working days
Oscillatory transmission through non-tunneling regime of symmetric rectangular double barrier - Parametric variations of... Oscillatory transmission through non-tunneling regime of symmetric rectangular double barrier - Parametric variations of transmission peaks (Paperback)
Sujaul Chowdhury, Abidur Rahman
R1,828 R1,735 Discovery Miles 17 350 Save R93 (5%) Ships in 10 - 15 working days

Master's Thesis from the year 2013 in the subject Physics - Quantum Physics, grade: -, Shahjalal University of Science and Technology (Department of Physics), course: Nanostructure Physics, language: English, abstract: We have numerically investigated parametric variations of transmission peaks of symmetric rectangular double barrier in non-tunneling regime. We have compared the variations with those for tunneling regime. One of the three variations in non-tunneling regime is completely different from that for tunneling regime warranting rapid dissemination. The book contains background on Quantum Mechanics, Microelectronics and Nanostructure Physics to enable readers assimilate the book completely.

Longitudinal Magnetic Field in WKB Method in Nanostructure Physics - Effects on Transmission Coefficient of Single and... Longitudinal Magnetic Field in WKB Method in Nanostructure Physics - Effects on Transmission Coefficient of Single and Symmetric Double Barriers by 3DEG (Paperback)
Sujaul Chowdhury, Mahbub Alam, Sudipta Saha
R2,246 R2,120 Discovery Miles 21 200 Save R126 (6%) Ships in 10 - 15 working days

Master's Thesis from the year 2011 in the subject Physics - Quantum Physics, grade: -, Shahjalal University of Science and Technology (Department of Physics), course: Nanostructure Physics, language: English, abstract: This book contains a comprehensive account of application of WKB method to pure Physics of nanostructures containing single or symmetric double barrier V(x) in their band model in presence of longitudinal magnetic field applied along x direction. It concentrates on effects on transmission coefficient of single and symmetric double barriers by three dimensional electron gas (3DEG). Analytical expressions for longitudinal magnetic field dependent transmission coefficient of single and symmetric double barrier of general shape are obtained first. These general expressions are then used to obtain analytical expressions of longitudinal magnetic field dependent transmission coefficient of single and symmetric double barriers of many different shapes we encounter in studying nanostructure Physics. This is followed by thorough numerical investigation to bring out effects of longitudinal magnetic field on transmission coefficient of all these barriers. Comparisons with standard results where available showed excellent agreements. Results of numerical investigation have been explained completely. The book makes well documented, with thorough calculation and discussion, pure Physics of semiconductor nanostructures.

Oscillatory transmission through non-tunneling regime of single rectangular tunnel barrier - Parametric dependence of maxima... Oscillatory transmission through non-tunneling regime of single rectangular tunnel barrier - Parametric dependence of maxima and minima (Paperback)
Sujaul Chowdhury, Mahmud Hasan
R1,932 R1,831 Discovery Miles 18 310 Save R101 (5%) Ships in 10 - 15 working days
Oscillatory transmission through non-tunneling regime of isolated Quantum Well - Parametric dependence of maxima and of minima... Oscillatory transmission through non-tunneling regime of isolated Quantum Well - Parametric dependence of maxima and of minima (Paperback)
Sujaul Chowdhury, Chaion Chandra Sarker
R2,076 R1,963 Discovery Miles 19 630 Save R113 (5%) Ships in 10 - 15 working days
Nanostructure Physics of non-isolated Quantum Well of symmetric double barrier - analytical calculation of equation obeyed by... Nanostructure Physics of non-isolated Quantum Well of symmetric double barrier - analytical calculation of equation obeyed by quasi-bound energy levels of the Quantum Well (Paperback)
Sujaul Chowdhury, Abdus Samad, Dipak Dash
R1,863 R1,768 Discovery Miles 17 680 Save R95 (5%) Ships in 10 - 15 working days
Numerical Solutions of Boundary Value Problems with So-Called Shooting Method (Hardcover): Sujaul Chowdhury Numerical Solutions of Boundary Value Problems with So-Called Shooting Method (Hardcover)
Sujaul Chowdhury
R4,005 Discovery Miles 40 050 Ships in 12 - 17 working days

This book presents in comprehensive detail numerical solutions to boundary value problems of a number of differential equations using the so-called Shooting Method. 4th order Runge-Kutta method, Newton's forward difference interpolation method and bisection method for root finding have been employed in this regard. Programs in Mathematica 6.0 were written to obtain the numerical solutions. This monograph on Shooting Method is the only available detailed resource of the topic.

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