Numerical schemes for a class of tempered fractional integro-differential equations

DOI10.1016/j.apnum.2020.05.026zbMath1451.65242OpenAlexW3033287871WikidataQ115360378 ScholiaQ115360378MaRDI QIDQ2192615

Deeksha Singh, Rajesh K. Pandey, Farheen Sultana, Dia Zeidan

Publication date: 17 August 2020

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2020.05.026

zbMATH Keywords

finite difference methodlinear schemequadratic schemetempered fractional integro-differential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Finite difference and finite volume methods for ordinary differential equations (65L12) Fractional ordinary differential equations (34A08)

Related Items

An efficient Mittag-Leffler kernel approach for time-fractional advection-reaction-diffusion equation ⋮ Computation of certain integral formulas involving generalized Wright function ⋮ A new integral operational matrix with applications to multi-order fractional differential equations ⋮ Logarithmic Jacobi collocation method for Caputo-Hadamard fractional differential equations ⋮ Bifurcation and chaos analysis of tumor growth ⋮ A sharp error estimate of Euler‐Maruyama method for stochastic Volterra integral equations ⋮ ADI finite element Galerkin methods for two-dimensional tempered fractional integro-differential equations ⋮ A fast numerical solution of the <scp>3D</scp> nonlinear tempered fractional integrodifferential equation ⋮ Combination of discrete technique on graded meshes with barycentric rational interpolation for solving a class of time-dependent partial integro-differential equations with weakly singular kernels ⋮ Crank-Nicolson ADI finite difference/compact difference schemes for the 3D tempered integrodifferential equation associated with Brownian motion ⋮ Fast BDF2 ADI methods for the multi-dimensional tempered fractional integrodifferential equation of parabolic type ⋮ A convergent hybrid numerical scheme for a class of nonlinear diffusion equations ⋮ Numerical investigation of fractional model of phytoplankton–toxic phytoplankton–zooplankton system with convergence analysis

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Tempered fractional calculus
• The sinc-Legendre collocation method for a class of fractional convection-diffusion equations with variable coefficients
• Collocation methods for fractional integro-differential equations with weakly singular kernels
• Fast predictor-corrector approach for the tempered fractional differential equations
• A tau approach for solution of the space fractional diffusion equation
• Comparative study of three numerical schemes for fractional integro-differential equations
• Adaptive Huber scheme for weakly singular fractional integro-differential equations
• Fractional calculus models of complex dynamics in biological tissues
• A new operational matrix for solving fractional-order differential equations
• Fractional integro-differential equations for electromagnetic waves in dielectric media
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Wave propagation in media with singular memory
• Collocation method with convergence for generalized fractional integro-differential equations
• A review of applications of fractional calculus in Earth system dynamics
• Well-posedness and numerical approximation of tempered fractional terminal value problems
• A finite difference/finite element technique with error estimate for space fractional tempered diffusion-wave equation
• The role of fractional calculus in modeling biological phenomena: a review
• Numerical solutions of integrodifferential equations of Fredholm operator type in the sense of the Atangana-Baleanu fractional operator
• Spectral element technique for nonlinear fractional evolution equation, stability and convergence analysis
• Fourth-order numerical method for the space-time tempered fractional diffusion-wave equation
• Numerical solution of fractional integro-differential equations by a hybrid collocation method
• Numerical solution of fractional integro-differential equations by collocation method
• A Legendre collocation method for fractional integro-differential equations
• Solution of a partial integro-differential equation arising from viscoelasticity
• A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity
• Solving nonlinear fractional partial differential equations using the homotopy analysis method
• Fractional differentiation matrices with applications

This page was built for publication: Numerical schemes for a class of tempered fractional integro-differential equations