Quadratic Spline Function for the Approximate Solution of an Intermediate Space-Fractional Advection Diffusion Equation

DOI10.5890/JAND.2017.06.007zbMath1491.65108OpenAlexW2624163525MaRDI QIDQ5083737

M. G. Brikaa, Entsar A. Abdel-Rehim

Publication date: 20 June 2022

Published in: Journal of Applied Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5890/jand.2017.06.007

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Theoretical approximation in context of PDEs (35A35) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)

Related Items (1)

Fractional Calculus Applications in Modeling and Design of Control Systems

Cites Work

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• Quadratic spline solution for boundary value problem of fractional order
• Nontrivial solutions for a nonlinear multi-point boundary value problem of fractional order
• A numerical algorithm for the solution of an intermediate fractional advection dispersion equation
• Approximation of the Lévy-Feller advection-dispersion process by random walk and finite difference method
• Implicit difference scheme of the space-time fractional advection diffusion equation
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Spline solutions of first order delay differential equations
• Positive solutions for boundary value problem of nonlinear fractional differential equation

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