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Two-Dimensional Legendre Wavelets for Solving Variable-Order Fractional Nonlinear Advection-Diffusion Equation with Variable Coefficients.
- Source :
-
International Journal of Nonlinear Sciences & Numerical Simulation . Dec2018, Vol. 19 Issue 7/8, p793-802. 10p. - Publication Year :
- 2018
-
Abstract
- This article studies a numerical scheme for solving two-dimensional variable-order time fractional nonlinear advection-diffusion equation with variable coefficients, where the variable-order fractional derivative is in the Caputo type. The main idea is expanding the solution in terms of the 2D Legendre wavelets (2D LWs) where the variable-order time fractional derivative is discretized. We describe the method using the matrix operators and then implement it for solving various types of fractional advection-diffusion equations. The experimental results show the computational efficiency of the new approach. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 15651339
- Volume :
- 19
- Issue :
- 7/8
- Database :
- Academic Search Index
- Journal :
- International Journal of Nonlinear Sciences & Numerical Simulation
- Publication Type :
- Academic Journal
- Accession number :
- 133427695
- Full Text :
- https://doi.org/10.1515/ijnsns-2018-0168