Solving heat and wave-like equations using He's polynomials.
Solving nonlinear boundary value problems using He's polynomials and Padé approximants.
Some relatively new techniques for nonlinear problems.
Modified iterative algorithms for nonexpansive mappings.
Variational iteration method for initial and boundary value problems using He's polynomials.
Homotopy perturbation method for solving fourth-order boundary value problems.
Variational iteration decomposition method for solving eighth-order boundary value problems.
Solution of singular and nonsingular initial and boundary value problems by modified variational iteration method.
Variational iteration method for fifth-order boundary value problems using He's polynomials.
Variational homotopy perturbation method for solving higher dimensional initial boundary value problems.
Modified variational iteration method for free-convective boundary-layer equation using Padé approximation.
Analytic solutions of the Helmholtz and Laplace equations by using local fractional derivative operators
In this paper we develop analytical solutions for the Helmholtz and Laplace equations involving local fractional derivative operators. We implement the local fractional decomposition method (LFDM) for finding the exact solutions. The iteration procedure is based upon the local fractional derivative sense. The numerical results, whichwe present in this paper, show that the methodology used provides an efficient and simple tool for solving fractal phenomena arising in mathematical physics and engineering....
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