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A wavelet method to the solution for a class of space–time fractional convection-diffusion equation with variable coefficients is proposed, by which combining Haar wavelet and operational matrix together and dispersing the coefficients efficaciously. The original problem is translated into Sylvester equation and computation became convenient. The numerical example shows that the method is effective.
This paper establishes a clear procedure for finite-length beam problem and convection-diffusion equation solution via Haar wavelet technique. An operational matrix of integration based on the Haar wavelet is established,and the procedure for applying the matrix to solve the differential equations is formulated. The fundamental idea of Haar wavelet method is to convert the differential equations into...
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