Novel Numerical Approach for Time Fractional Equations with Nonlocal Condition
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Date
2023
Authors
Taneja, Komal
Deswal, Komal
Kumar, Devendra
Baleanu, Dumitru
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Abstract
A numerical method for solving inhomogeneous nonlocal time fractional convection-diffusion-reaction equations with variable coefficients has been developed. The fractional time operator is taken in the sense of the modified operator with the Mittag-Leffler kernel. The numerical method is based on the modified Gauss elimination with Taylor’s expansion. Through rigorous analysis, it has been proved that the given method is unconditionally stable and second-order convergent in space and time. The numerical results for three test problems illustrate the efficiency and validity of the theoretical estimates.
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34K37, 35F16, 35R11, 65M06, Difference Schemes, Fractional Convection-Diffusion-Reaction Equation, Matrix Stability, Modified Gauss Elimination, Modified Operator with Mittag-Leffler Kernel, Nonlocal Condition, Taylor’s Expansion
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Taneja, Komal;...et.al. (2023). "Novel Numerical Approach for Time Fractional Equations with Nonlocal Condition", Numerical Algorithms.
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Numerical Algorithms