Discrete singular convolution for fourth-order multi-term time fractional equation
Copyright policy )Discrete singular convolution for fourth-order multi-term time fractional equation
This paper studies the fourth-order problem with multi-term time fractional integral operator under simply supported type conditions. We first introduce a novel computational approach, the discrete singular convolution (DSC) algorithm, for analyzing this problem. Detailed discrete formulations and the treatment of simply supported boundary condition are established. We provide some numerical results to demonstrate the validity and applicability of the proposed technique. Comprehensive comparisons are given based on a variety of time increment, grid spacing and wave number. Unified features of the DSC algorithm for solving differential equations are explored. It is demonstrated that the DSC algorithm is an accurate, stable and robust approach for solving the fourth-order integro-differential equation with multi-term time fractional integral operator.
multi-term time fractional equation, Stability and convergence of numerical methods for boundary value problems involving PDEs, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, Fractional partial differential equations, controllable accuracy, Singularity in context of PDEs, Integro-partial differential equations, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs, Integral equations with kernels of Cauchy type, Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type), discrete singular convolution, fourth-order equation
multi-term time fractional equation, Stability and convergence of numerical methods for boundary value problems involving PDEs, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, Fractional partial differential equations, controllable accuracy, Singularity in context of PDEs, Integro-partial differential equations, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs, Integral equations with kernels of Cauchy type, Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type), discrete singular convolution, fourth-order equation
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