Volume 9, Issue 1
A Variational Iteration Method Involving Adomian Polynomials for a Strongly Nonlinear Boundary Value Problem

Shih-Hsiang Chang

East Asian J. Appl. Math., 9 (2019), pp. 153-164.

Published online: 2019-01

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  • Abstract

A variational iteration method involving Adomian polynomials to solve a strongly nonlinear boundary value problem is considered. After its convergence is established, the efficiency and accuracy of the proposed method are tested on problems with exponential nonlinearity.

  • Keywords

Boundary value problem variational iteration method Adomian polynomials convergence.

  • AMS Subject Headings

34B16 65G99 65K10 65L20 68U20

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COPYRIGHT: © Global Science Press

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@Article{EAJAM-9-153, author = {}, title = {A Variational Iteration Method Involving Adomian Polynomials for a Strongly Nonlinear Boundary Value Problem}, journal = {East Asian Journal on Applied Mathematics}, year = {2019}, volume = {9}, number = {1}, pages = {153--164}, abstract = {

A variational iteration method involving Adomian polynomials to solve a strongly nonlinear boundary value problem is considered. After its convergence is established, the efficiency and accuracy of the proposed method are tested on problems with exponential nonlinearity.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.041116.291118}, url = {http://global-sci.org/intro/article_detail/eajam/12939.html} }
TY - JOUR T1 - A Variational Iteration Method Involving Adomian Polynomials for a Strongly Nonlinear Boundary Value Problem JO - East Asian Journal on Applied Mathematics VL - 1 SP - 153 EP - 164 PY - 2019 DA - 2019/01 SN - 9 DO - http://dor.org/10.4208/eajam.041116.291118 UR - https://global-sci.org/intro/article_detail/eajam/12939.html KW - Boundary value problem KW - variational iteration method KW - Adomian polynomials KW - convergence. AB -

A variational iteration method involving Adomian polynomials to solve a strongly nonlinear boundary value problem is considered. After its convergence is established, the efficiency and accuracy of the proposed method are tested on problems with exponential nonlinearity.

Shih-Hsiang Chang. (2020). A Variational Iteration Method Involving Adomian Polynomials for a Strongly Nonlinear Boundary Value Problem. East Asian Journal on Applied Mathematics. 9 (1). 153-164. doi:10.4208/eajam.041116.291118
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