MODIFIED FINITE ELEMENT NUMERICAL METHOD FOR SOLVING CONFORMABLE SPACE-TIME FRACTIONAL NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
DOI10.1142/S0218348X22402472WikidataQ114072736 ScholiaQ114072736MaRDI QIDQ5880741
Adel R. Hadhoud, Taha Radwan, Faisal E. Abd Alaal
Publication date: 6 March 2023
Published in: Fractals (Search for Journal in Brave)
stabilityGalerkin methodvon Neumann methodspace-time fractional partial differential equationcubic B-spline polynomials
Numerical computation using splines (65D07) Fractional derivatives and integrals (26A33) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Fractional partial differential equations (35R11)
Cites Work
- Unnamed Item
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- Numerical simulation of fractional Fornberg-Whitham equation by differential transformation method
- On the solution of the fractional nonlinear Schrödinger equation
- Tau approximate solution of fractional partial differential equations
- The approximate and exact solutions of the space- and time-fractional Burgers equations with initial conditions by variational iteration method
- A novel method for nonlinear fractional partial differential equations: Combination of DTM and generalized Taylor's formula
- A reliable algorithm of homotopy analysis method for solving nonlinear fractional differential equations
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- A Galerkin solution for Burgers' equation using cubic B-spline finite elements
- Numerical treatment of the generalized time-fractional Huxley-Burgers' equation and its stability examination
- A comparison study of numerical techniques for solving ordinary differential equations defined on a semi-infinite domain using rational Chebyshev functions
- Non-polynomial B-spline and shifted Jacobi spectral collocation techniques to solve time-fractional nonlinear coupled Burgers' equations numerically
- Infinite existence solutions of fractional systems with Lipschitz nonlinearity
- Numerical solution of the nonlinear conformable space-time fractional partial differential equations
- A new definition of fractional derivative
- Computational method for solving space fractional Fisher's nonlinear equation
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