Perturbation Method as a Powerful Tool to Solve Highly Nonlinear Problems: The Case of Gelfand’s Equation

Research Article

Perturbation Method as a Powerful Tool to Solve Highly Nonlinear Problems: The Case of Gelfand’s Equation

U. Filobello-Nino, H. Vazquez-Leal, K. Boubaker, Y. Khan, A. Perez-Sesma, A. Sarmiento-Reyes, V.M. Jimenez-Fernandez, A. Diaz-Sanchez, A. Herrera-May, J. Sanchez-Orea and K. Pereyra-Castro

Solving nonlinear ordinary differential equations is relevant because phenomena on the frontiers of modern sciences are often nonlinear in nature; therefore this article proposes Perturbation Method (PM) to solve nonlinear problems. As case study PM is employed to obtain a handy approximate solution for Gelfand’s differential equation which governing combustible gas dynamics. Comparing figures between approximate and exact solutions, it is shown that PM method result extremely efficient.

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U. Filobello-Nino, H. Vazquez-Leal, K. Boubaker, Y. Khan, A. Perez-Sesma, A. Sarmiento-Reyes, V.M. Jimenez-Fernandez, A. Diaz-Sanchez, A. Herrera-May, J. Sanchez-Orea and K. Pereyra-Castro, 2013. Perturbation Method as a Powerful Tool to Solve Highly Nonlinear Problems: The Case of Gelfand’s Equation. Asian Journal of Mathematics & Statistics, 6: 76-82.

DOI: 10.3923/ajms.2013.76.82

URL: https://scialert.net/abstract/?doi=ajms.2013.76.82

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Alemnie Genaneh belew Reply

06 August, 2021

please dou help me about this topic?

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Authors

U. Filobello-Nino

H. Vazquez-Leal

K. Boubaker

Y. Khan

A. Perez-Sesma

A. Sarmiento-Reyes

V.M. Jimenez-Fernandez

A. Diaz-Sanchez

A. Herrera-May

J. Sanchez-Orea

K. Pereyra-Castro

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Research Article

Perturbation Method as a Powerful Tool to Solve Highly Nonlinear Problems: The Case of Gelfand’s Equation

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