Nonlinear Differential Equations in Physics

Name: Nonlinear Differential Equations in Physics
Brand: Springer, Berlin
SKU: 9789811516559
Price: 552.18 RON
Availability: InStock

Novel Methods for Finding Solutions

Autor: Santanu Saha Ray

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Legare: Copertă tare

Editura: Springer, Berlin

Disponibilitate: În depozitul extern

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This book discusses various novel analytical and numerical methods for solving partial and fractiona...

Informații despre carte

Autor

Santanu Saha Ray

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2020

Pagini

388

EAN

9789811516559

Enbook ID

25145734

Editura

Springer, Berlin

Greutate

974

Dimensiuni

155 x 235 x 24

Descriere completă

This book discusses various novel analytical and numerical methods for solving partial and fractional differential equations. Moreover, it presents selected numerical methods for solving stochastic point kinetic equations in nuclear reactor dynamics by using Euler-Maruyama and strong-order Taylor numerical methods. The book also shows how to arrive at new, exact solutions to various fractional differential equations, such as the time-fractional Burgers-Hopf equation, the (3+1)-dimensional time-fractional Khokhlov-Zabolotskaya-Kuznetsov equation, (3+1)-dimensional time-fractional KdV-Khokhlov-Zabolotskaya-Kuznetsov equation, fractional (2+1)-dimensional Davey-Stewartson equation, and integrable Davey-Stewartson-type equation. Many of the methods discussed are analytical-numerical, namely the modified decomposition method, a new two-step Adomian decomposition method, new approach to the Adomian decomposition method, modified homotopy analysis method with Fourier transform, modified fractional reduced differential transform method (MFRDTM), coupled fractional reduced differential transform method (CFRDTM), optimal homotopy asymptotic method, first integral method, and a solution procedure based on Haar wavelets and the operational matrices with function approximation. The book proposes for the first time a generalized order operational matrix of Haar wavelets, as well as new techniques (MFRDTM and CFRDTM) for solving fractional differential equations. Numerical methods used to solve stochastic point kinetic equations, like the Wiener process, Euler-Maruyama, and order 1.5 strong Taylor methods, are also discussed.

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Nonlinear Differential Equations in Physics

Novel Methods for Finding Solutions

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