Advanced numerical methods for differential equations : applications in science and engineering
著者
書誌事項
Advanced numerical methods for differential equations : applications in science and engineering
（Mathematics and its applications : modelling, engineering, and social sciences）
CRC Press, 2021
- : hardback
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注記
Includes bibliographical references and index
Other editors: Jaddev Singh, Sunil Dutt Purohit, Devendra Kumar
内容説明・目次
内容説明
Mathematical models are used to convert real-life problems using mathematical concepts and language. These models are governed by differential equations whose solutions make it easy to understand real-life problems and can be applied to engineering and science disciplines. This book presents numerical methods for solving various mathematical models.
This book offers real-life applications, includes research problems on numerical treatment, and shows how to develop the numerical methods for solving problems. The book also covers theory and applications in engineering and science.
Engineers, mathematicians, scientists, and researchers working on real-life mathematical problems will find this book useful.
目次
Stability and Convergence Analysis of Numerical Scheme for the Generalized Fractional Diffusion-Reaction Equation.
Complex wave patterns of the KP-BBM and Generalized KP-BBM equations.
Abundant computational and numerical solutions of the fractional quantum version of the relativistic energy-momentum relation.
Applications of conserved schemes for solving ultra-relativistic Euler equations.
Notorious Boundary Value Problems: Singularly Perturbed Differential Equations and their Numerical Treatment.
Review on Non Standard Finite Difference (NSFD) Schemes for solving linear and non-linear differential equations.
Solutions for Nonlinear Fractional Diffusion Equations with Reaction Terms.
Convergence of some high-order iterative methods with applications to differential equations.
Fractional derivative operator on quarantine and isolation principle for COVID-19.
Superabundant explicit wave and numerical solutions of the fractional isotropic extension model of the KdV model.
A Modified Computational Scheme and Convergence Analysis for Fractional Order Hepatitis E Virus Model
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