Numerical Solution of Fractional Partial Differential Equation of Parabolic Type Using Chebyshev Wavelets Method

摘要

Numerical solution of the fractional differentialequation is almost an important topic in recent years. In thispaper, in order to solve the numerical solution of a class offractional partial differential equation of parabolic type, wepresent a collocation method of two-dimensional Chebyshevwavelets. Using the definition and property of Chebyshevwavelets, we give the definition of two-dimensional Chebyshevwavelets. We transform the initial problems into solving asystem of nonlinear algebraic equations by applying thewavelets collocation method. Convergence analysis isinvestigated to show that the method is convergent. Thenumerical example shows the effectiveness of the approach.