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This book provides a thorough conversation on the underpinnings of
Covid-19 spread modelling by using stochastics nonlocal
differential and integral operators with singular and non-singular
kernels. The book presents the dynamic of Covid-19 spread behaviour
worldwide. It is noticed that the spread dynamic followed process
with nonlocal behaviours which resemble power law, fading memory,
crossover and stochastic behaviours. Fractional stochastic
differential equations are therefore used to model spread
behaviours in different parts of the worlds. The content coverage
includes brief history of Covid-19 spread worldwide from December
2019 to September 2021, followed by statistical analysis of
collected data for infected, death and recovery classes.
New Numerical Scheme with Newton Polynomial: Theory, Methods, and
Applications provides a detailed discussion on the underpinnings of
the theory, methods and real-world applications of this numerical
scheme. The book's authors explore how this efficient and accurate
numerical scheme is useful for solving partial and ordinary
differential equations, as well as systems of ordinary and partial
differential equations with different types of integral operators.
Content coverage includes the foundational layers of polynomial
interpretation, Lagrange interpolation, and Newton interpolation,
followed by new schemes for fractional calculus. Final sections
include six chapters on the application of numerical scheme to a
range of real-world applications. Over the last several decades,
many techniques have been suggested to model real-world problems
across science, technology and engineering. New analytical methods
have been suggested in order to provide exact solutions to
real-world problems. Many real-world problems, however, cannot be
solved using analytical methods. To handle these problems,
researchers need to rely on numerical methods, hence the release of
this important resource on the topic at hand.
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