Nonlinearities distribution homotopy perturbation method applied to solve nonlinear problems: Thomas-Fermi equation as a case study. (English) Zbl 1435.65115

Filobello-Nino, U.; Vazquez-Leal, H.; Boubaker, K.; Sarmiento-Reyes, A.; Perez-Sesma, A.; Diaz-Sanchez, A.; Jimenez-Fernandez, V. M.; Cervantes-Perez, J.; Sanchez-Orea, J.; Huerta-Chua, J.; Morales-Mendoza, L. J.; Gonzalez-Lee, M.; Hernandez-Mejia, C.; Gonzalez-Martinez, F. J.

J. Appl. Math. 2015, Article ID 405108, 9 p. (2015).

Summary: We propose an approximate solution of T-F equation, obtained by using the nonlinearities distribution homotopy perturbation method (NDHPM). Besides, we show a table of comparison, between this proposed approximate solution and a numerical of T-F, by establishing the accuracy of the results.

MSC:

65L99	Numerical methods for ordinary differential equations
34A34	Nonlinear ordinary differential equations and systems

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