New approximate solutions to electrostatic differential equations obtained by using numerical and analytical methods-Reference-Cited by-同舟云学术

New approximate solutions to electrostatic differential equations obtained by using numerical and analytical methods

Published:2020-03-01 Issue:1 Volume:27 Page:23-30
ISSN:1072-947X
Container-title:Georgian Mathematical Journal
language:
Short-container-title:

Author:

Bildik Necdet¹,Deniz Sinan¹

Affiliation:

1. Department of Mathematics, Muradiye Campus, Faculty of Arts and Science, Manisa Celal Bayar University, Manisa, Turkey

Abstract

AbstractIn this paper, we implement the optimal homotopy asymptotic method to find the approximate solutions of the Poisson–Boltzmann equation. We also use the results of the conjugate gradient method for comparison with those of the optimal homotopy asymptotic method. Our study reveals that the optimal homotopy asymptotic method gives more effective results than conjugate gradient algorithms for the considered problems.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/downloadpdf/journals/gmj/27/1/article-p23.xml

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