Abstract:
Evolution equations containing fractional derivatives can provide suitable mathematical models for describing important physical phenomena. In this paper, we propose an accurate method for numerical solutions of multi-dimensional time-fractional heat equations. The proposed method is based on a fractional exponential integrator scheme in time and the Lagrange regularized kernel method in space. Numerical experiments show the effectiveness of the proposed approach.
Acknowledgements
E. Pindza is thankful to Brad Welch for the financial support through RidgeCape Capital.
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©2017 by De Gruyter
Articles in the same Issue
- Frontmatter
- Compact Discrete Gradient Schemes for Nonlinear Schrödinger Equations
- Mixed Convection Boundary Layer Flow of Williamson Fluid with Slip Conditions Over a Stretching Cylinder by Using Keller Box Method
- Almost Periodic Solution in a Lotka–Volterra Recurrent Neural Networks with Time-Varying Delays
- Conjugate Heat Transfer Study of Combined Radiation and Forced Convection Turbulent Separated Flow
- A Finite Element Domain Decomposition Approximation for a Semilinear Parabolic Singularly Perturbed Differential Equation
- Study of the Shock Wave–Turbulent Boundary Layer Interaction Using a 3D von Kármán Length Scale
- Barycentric Jacobi Spectral Method for Numerical Solutions of the Generalized Burgers-Huxley Equation
- Nontrivial Solutions of Higher-Order Nonlinear Singular Fractional Differential Equations with Fractional Multi-point Boundary Conditions
- A Lagrange Regularized Kernel Method for Solving Multi-dimensional Time-Fractional Heat Equations
Articles in the same Issue
- Frontmatter
- Compact Discrete Gradient Schemes for Nonlinear Schrödinger Equations
- Mixed Convection Boundary Layer Flow of Williamson Fluid with Slip Conditions Over a Stretching Cylinder by Using Keller Box Method
- Almost Periodic Solution in a Lotka–Volterra Recurrent Neural Networks with Time-Varying Delays
- Conjugate Heat Transfer Study of Combined Radiation and Forced Convection Turbulent Separated Flow
- A Finite Element Domain Decomposition Approximation for a Semilinear Parabolic Singularly Perturbed Differential Equation
- Study of the Shock Wave–Turbulent Boundary Layer Interaction Using a 3D von Kármán Length Scale
- Barycentric Jacobi Spectral Method for Numerical Solutions of the Generalized Burgers-Huxley Equation
- Nontrivial Solutions of Higher-Order Nonlinear Singular Fractional Differential Equations with Fractional Multi-point Boundary Conditions
- A Lagrange Regularized Kernel Method for Solving Multi-dimensional Time-Fractional Heat Equations