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Analysis of a finite difference method based on L1 discretization for solving multi‐term fractional differential equation involving weak singularity - MaRDI portal

Analysis of a finite difference method based on L1 discretization for solving multi‐term fractional differential equation involving weak singularity (Q6071013)

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scientific article; zbMATH DE number 7771058

Language	Label	Description	Also known as
English	Analysis of a finite difference method based on L1 discretization for solving multi‐term fractional differential equation involving weak singularity	scientific article; zbMATH DE number 7771058

Statements

scholarly article

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Analysis of a finite difference method based on L1 discretization for solving multi‐term fractional differential equation involving weak singularity (English)

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Sudarshan Santra

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Jugal Mohapatra

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Mathematical Methods in the Applied Sciences

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publication date

27 November 2023

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zbMATH Keywords

Caputo fractional derivative

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classical L1 scheme

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error analysis

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experimental evidences

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multi-term fractional IVP

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1002/mma.8199

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Collocation Methods for Volterra Integral and Related Functional Differential Equations

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The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type

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Convergence Outside the Initial Layer for a Numerical Method for the Time-Fractional Heat Equation

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Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation

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Decomposition method for solving fractional Riccati differential equations

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Adomian decomposition and homotopy perturbation method for the solution of time fractional partial integro-differential equations

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Numerical solutions for fractional KdV-Burgers equation by Adomian decomposition method

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A novel approach for solving multi-term time fractional Volterra-Fredholm partial integro-differential equations

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Solving systems of fractional differential equations by homotopy-perturbation method

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Using an enhanced homotopy perturbation method in fractional differential equations via deforming the linear part

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Optimal homotopy analysis method for nonlinear partial fractional differential equations

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Analysis of a numerical method for the solution of time fractional Burgers equation

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Solving initial and boundary value problems of fractional ordinary differential equations by using collocation and fractional powers

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An analysis of the Grünwald-Letnikov scheme for initial-value problems with weakly singular solutions

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Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations

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Convergence in positive time for a finite difference method applied to a fractional convection-diffusion problem

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A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems

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Analytical and numerical solutions of a multi-term time-fractional Burgers' fluid model

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Error analysis of a finite difference method on graded meshes for a multiterm time-fractional initial-boundary value problem

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Second-order numerical methods for multi-term fractional differential equations: smooth and non-smooth solutions

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Numerical treatment of two‐parameter singularly perturbed parabolic convection diffusion problems with non‐smooth data

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HIGHER-ORDER PARAMETER UNIFORM CONVERGENT SCHEMES FOR ROBIN TYPE REACTION-DIFFUSION PROBLEMS USING ADAPTIVELY GENERATED GRID

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Numerical solution of singularly perturbed convection-diffusion-reaction problems with two small parameters

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A higher order difference method for singularly perturbed parabolic partial differential equations

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A moving mesh refinement based optimal accurate uniformly convergent computational method for a parabolic system of boundary layer originated reaction-diffusion problems with arbitrary small diffusion terms

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Caputo type fractional differential equations with nonlocal Riemann-Liouville and Erdélyi-Kober type integral boundary conditions

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Existence and uniqueness of solutions for multi-term fractional \(q\)-integro-differential equations via quantum calculus

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Nonlinear sequential Riemann-Liouville and Caputo fractional differential equations with generalized fractional integral conditions

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Analysis of the L1 scheme for a time fractional parabolic–elliptic problem involving weak singularity

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A new numerical method for solving fractional delay differential equations

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A novel finite difference technique with error estimate for time fractional partial integro-differential equation of Volterra type

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A uniformly convergent hybrid scheme for singularly perturbed system of reaction-diffusion Robin type boundary-value problems

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Optimal error estimate using mesh equidistribution technique for singularly perturbed system of reaction-diffusion boundary-value problems

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A numerical method for solving boundary and interior layers dominated parabolic problems with discontinuous convection coefficient and source terms

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An a posteriori based convergence analysis for a nonlinear singularly perturbed system of delay differential equations on an adaptive mesh

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Higher order accurate approximations on equidistributed meshes for boundary layer originated mixed type reaction diffusion systems with multiple scale nature

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Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

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A perturbation-based approach for solving fractional-order Volterra–Fredholm integro differential equations and its convergence analysis

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Theoretical prospects of fractional order weakly singular Volterra Integro differential equations and their approximations with convergence analysis

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On the approximate solutions of a class of fractional order nonlinear Volterra integro-differential initial value problems and boundary value problems of first kind and their convergence analysis

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1002/MMA.8199

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Sitelinks

Mathematics(1 entry)

mardi Publication:6071013

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