Solving Some Linear and Nonlinear PDEs Using Laplace Adomian Decomposition Method

Authors

  • Attaillah University of Malakand, Chakdara Dir(L), KPK, Pakistan

DOI:

https://doi.org/10.3126/jnms.v1i2.41484

Keywords:

Laplace, Adomian decomposition method, Nonlinear Fisher's equation, Evolution equations, Cauchy reaction-diffusion equations, Klien-Gordon equations

Abstract

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.

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Author Biography

Attaillah, University of Malakand, Chakdara Dir(L), KPK, Pakistan

Department of Mathematics

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Published

2018-08-05

How to Cite

Attaullah. (2018). Solving Some Linear and Nonlinear PDEs Using Laplace Adomian Decomposition Method. Journal of Nepal Mathematical Society, 1(2), 9–31. https://doi.org/10.3126/jnms.v1i2.41484

Issue

Vol. 1 No. 2 (2018)

Section

Articles

License

© Nepal Mathematical Society