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The use of Sumudu transform for solving certain nonlinear fractional heat-like equations. (English) Zbl 1275.65067
Summary: We make use of the properties of the Sumudu transform to solve nonlinear fractional partial differential equations describing a heat-like equation with variable coefficients. The method, namely, the homotopy perturbation Sumudu transform method, is the combination of the Sumudu transform and the homotopy perturbation method using He’s polynomials. This method is very powerful, and professional techniques for solving different kinds of linear and nonlinear fractional differential equations arising in different fields of science and engineering.
MSC:
65M99Numerical methods for IVP of PDE
35R11Fractional partial differential equations
35A22Transform methods (PDE)
44A10Laplace transform
35K55Nonlinear parabolic equations