Desimal: Jurnal Matematika
Vol 4, No 2 (2021): Desimal: Jurnal Matematika

Variational homotopy perturbation method for solving systems of homogeneous linear and nonlinear partial differential equations

Atika Faradilla (Universitas Lampung)
Aang Nuryaman (Universitas Lampung)
Asmiati Asmiati (Universitas Lampung)
Dewi Rakhmatia Nur (Universitas Lampung)



Article Info

Publish Date
05 Jul 2021

Abstract

The variational homotopy perturbation method is developed by combining variational iteration method and homotopy perturbation method. Variational iteration method has an efficient process in solving a wide variety of equations and systems of equations. Meanwhile, homotopy perturbation method yields a very rapid convergence of the solution series in most cases. The developed method, variational homotopy perturbation method, took full advantage of both methods. In this study, we described an application of the variational homotopy perturbation method to solve systems of homogeneous partial differential equations. Here we consider some initial value problems of homogeneous partial differential equation systems with two and three variables. The results show that the obtained solution using this method was in agreement with the solution using the homotopy analysis method and variational iteration method, which prove the validity of the variational homotopy perturbation method when applied to systems of partial differential equations.

Copyrights © 2021






Journal Info

Abbrev

desimal

Publisher

Subject

Education Mathematics Social Sciences

Description

Desimal: Jurnal Matematika, particularly focuses on the main issues in the development of the sciences of mathematics education, mathematics education, and applied mathematics. Desimal: Jurnal Matematika published three times a year, the period from January to April, May to Augustus, and September ...