Open AccessSolving Some Linear and Nonlinear PDEs Using Laplace Adomian Decomposition Method
Author(s) -
Attaullah Attaullah
Publication year - 2018
Publication title -
journal of nepal mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2616-0161
pISSN - 2616-0153
DOI - 10.3126/jnms.v1i2.41484
Subject(s) - adomian decomposition method , laplace transform , mathematics , nonlinear system , partial differential equation , laplace's equation , mathematical analysis , cauchy distribution , decomposition method (queueing theory) , physics , discrete mathematics , quantum mechanics
In this paper, Laplace Adomian decomposition method (LADM) is applied to solve linear and nonlinear partial differential equations (PDEs). With the help of proposed method, we handle the approximated analytical solutions to some interesting classes of PDEs including nonlinear evolution equations, Cauchy reaction-diffusion equations and the Klien-Gordon equations.