Nonlinear Engineering · 2018 · 27 citations · 41 references
Natural SciencesComputational EngineeringPhysicsComputational PhysicsDifferential EquationsFluid DynamicsNumerical AlgorithmsNumerical AnalysisNumerical ConvergenceNumerical Methods For Differential EquationsPartial Differential EquationsPerturbation MethodsDifferential Equation SolversFractional Differential EquationsNumerical Analysis Of Partial Differential EquationsPerturbation Of Nonlinear Differential EquationsTime Discretization
Abstract In this work, we aim to apply a reliable analytic algorithm based on homotopy perturbation Sumudu transform method (HPSTM) to examine the nonlinear time-fractional coupled Burger’s equations. The approximate analytical solution and some numerical examples show the accuracy and efficiency of the proposed method, which is simple and accurate in comparison to the Adomain decomposition method (ADM), homotopy perturbation method (HPM) and generalized differential transform method (GDTM).
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