Journal of King Saud University - Science · 2010 · 24 citations · 15 references
Natural SciencesPhysicsDifferential EquationsNumerical Methods For Differential EquationsPartial Differential EquationsPerturbation MethodsPerturbation TheoryHyperbolic Partial Differential EquationsNonlinear Partial Differential EquationsNumerical Analysis Of Partial Differential EquationsNumerical Solutions Of Partial Differential EquationsParabolic Partial Differential EquationsPerturbation Of Nonlinear Differential Equations
In this article, homotopy perturbation method is applied to solve nonlinear parabolic–hyperbolic partial differential equations. Examples of one-dimensional and two-dimensional are presented to show the ability of the method for such equations.
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Homotopy perturbation technique
Ji‐Huan He · Computer Methods in Applied Mechanics and Engineering · 1999 · 3.5K citations
Homotopy perturbation method for solving boundary value problems
Ji‐Huan He · Physics Letters A · 2005 · 1.1K citations