Series solution of nonlinear differential equations by a novel extension of the Laplace transform method

DOI10.1080/00207160.2015.1045421zbMath1345.34023OpenAlexW2093975344MaRDI QIDQ5739615

Hossein Abolghasemi, Hooman Fatoorehchi

Publication date: 19 July 2016

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2015.1045421

zbMATH Keywords

nonlinear differential equationsLaplace transform methodAdomian polynomials

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Theoretical approximation of solutions to ordinary differential equations (34A45) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Laplace transform (44A10)

Related Items (5)

The extended Laplace transform method for mathematical analysis of the Thomas-Fermi equation ⋮ On solutions of nonlinear ordinary differential equations with variable coefficients based on elastic transformation methods ⋮ Elastic transformation and its inverse transformation for solving first- and third-order nonlinear variable coefficient ordinary differential equations ⋮ Solving nonlinear ordinary differential equations with variable coefficients by elastic transformation method ⋮ Chaos control in the cerium-catalyzed Belousov-Zhabotinsky reaction using recurrence quantification analysis measures

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