Unconditionally Stable Explicit Difference Schemes for PDEs - Tapa blanda

Nakashima, Masaharu

 
9783659827341: Unconditionally Stable Explicit Difference Schemes for PDEs
Tapa blanda
ISBN 10: 3659827347 ISBN 13: 9783659827341
Editorial: LAP LAMBERT Academic Publishing, 2016

Sinopsis

This book presents some numerical explicit schemes for some linear and nonlinear Parabolic PDEs. A number of different schemes for solving partial difference equations have been proposed.However,in using the explicit methods, stability of algorithms is a serious problem.The scheme is required the condition of step size ratio k/(h*h) is limited, where k and h are step sizes for space and time respectively,and we have to take small time step size which causes the long time in calculation. We will present the explicit scheme for some parabolic equations,which has no restriction on the step size ratio k/(h*h). We also prove convergence of difference schemes.In this book, we present four papers. Using the same idea, we may derive the difference equation for other PDEs problem. The presentation of this book is comprehensible by the beginners also.This book will help the physicists, chemist, computer scientist, applied mathematicians, engineers, who undertakes research on phenomena the linear and nonlinear PDEs.

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Reseña del editor

This book presents some numerical explicit schemes for some linear and nonlinear Parabolic PDEs. A number of different schemes for solving partial difference equations have been proposed.However,in using the explicit methods, stability of algorithms is a serious problem.The scheme is required the condition of step size ratio k/(h*h) is limited, where k and h are step sizes for space and time respectively,and we have to take small time step size which causes the long time in calculation. We will present the explicit scheme for some parabolic equations,which has no restriction on the step size ratio k/(h*h). We also prove convergence of difference schemes.In this book, we present four papers. Using the same idea, we may derive the difference equation for other PDEs problem. The presentation of this book is comprehensible by the beginners also.This book will help the physicists, chemist, computer scientist, applied mathematicians, engineers, who undertakes research on phenomena the linear and nonlinear PDEs.

Biografía del autor

Dr Masaharu Nakashima is Professor Emeritus Kagoshima University. He obtained Doctor of Science 1988 from Kyoto University. He is a member of Society for Industrial and Applied Mathematics.His research interests in Numerical Solution of Ordinary and Partial Differential. Especially Runge Kutta methods, Rational approximation for PDEs.

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Editorial
LAP LAMBERT Academic Publishing
Año de publicación
2016
Idioma
Inglés
ISBN 10 
3659827347
ISBN 13 
9783659827341
Encuadernación
Tapa blanda
Número de páginas
60
Contacto del fabricante
no disponible
Persona responsable
no disponible