Name: Nonlinear Differential Equations in Physics: Novel Methods for Finding Solutions (en Inglés)
SKU: 59354901
Price: 79.68 USD
Availability: InStock
Author: Saha Ray, Santanu
ISBN: 9789811516580

portada Nonlinear Differential Equations in Physics: Novel Methods for Finding Solutions (en Inglés)

Nonlinear Differential Equations in Physics: Novel Methods for Finding Solutions (en Inglés)

Formato

Libro Físico

Editorial

Springer

Autor

Saha Ray, Santanu

Idioma

Inglés

N° páginas

388

Encuadernación

Tapa Blanda

ISBN13

9789811516580

Categorías

Cálculo diferencial y ecuaciones
Matemáticas aplicadas

Nonlinear Differential Equations in Physics: Novel Methods for Finding Solutions (en Inglés)

Saha Ray, Santanu (Autor) · Springer · Tapa Blanda

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Reseña del libro "Nonlinear Differential Equations in Physics: Novel Methods for Finding Solutions (en Inglés)"

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.