Homotopy Sumudu transform method for solving applications in physics

Homotopy Analysis Sumudu Transform Method for Nonlinear Equations

Homotopy Perturbation Sumudu Transform Method for Nonlinear Equations

In this paper, we propose a combined form of the sumudu transform method with the homotopy perturbation method to solve nonlinear equations. This method is called the homotopy perturbation sumudu transform method (HPSTM). The nonlinear terms can be easily handled by the use of He’s polynomials. The proposed scheme finds the solution without any discretization or restrictive assumptions and avoi...

homotopy analysis sumudu transform method for nonlinear equations

homotopy analysis sumudu transform method for nonlinear equations

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Solving The Optimal Control Problems Using Homotopy Perturbation Transform Method

Inthispaper,wesolveHamilton-Jocobi-Bellman(HJB)equationsarisinginoptimalcontrolproblems usingHomotopyPerturbationTransformMethod(HPTM).Theproposedmethodisacombinedform oftheLaplaceTransformationMethodwiththeHomotopyPerturbationMethodtoproduceahighly effectivemethodtohandlemanyproblems. ApplyingtheHPTM,solutionprocedurebecomeseasier, simplerandmorestraightforward. Someillustrativeexamplesaregive...