Journal
COMPUTATIONAL & APPLIED MATHEMATICS
Volume 34, Issue 1, Pages 1-16Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s40314-013-0073-z
Keywords
Homotopy perturbation method; Nonlinear differential equation; Approximate solutions; Laplace transform; Laplace transform homotopy perturbation method; Dirichlet; Boundary condition; Neumann boundary condition; Gelfand's differential equation
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This article proposes Laplace transform-homotopy perturbation method (LT-HPM) to solve nonlinear differential equations with Dirichlet, mixed, and Neumann boundary conditions. After comparing figures between approximate and exact solutions, we will see that the proposed solutions are of high accuracy and, therefore, that LT-HPM is extremely efficient.
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