|
|
Books > Science & Mathematics > Science: general issues > General
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.
This title is part of UC Press's Voices Revived program, which
commemorates University of California Press's mission to seek out
and cultivate the brightest minds and give them voice, reach, and
impact. Drawing on a backlist dating to 1893, Voices Revived makes
high-quality, peer-reviewed scholarship accessible once again using
print-on-demand technology. This title was originally published in
1962.
|
|