Numerical solution of the multiterm time‐fractional diffusion equation based on reproducing kernel theory
DOI10.1002/NUM.22518OpenAlexW3081955114WikidataQ114235269 ScholiaQ114235269MaRDI QIDQ6066934
Mehdi Ghasemi, Unnamed Author, Reza Khoshsiar Ghaziani
Publication date: 14 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.22518
convergence analysisdiffusion equationerror analysisapproximate solutionreproducing kernel methodmultiterm time-fractional
Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Analyticity in context of PDEs (35A20) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Fractional partial differential equations (35R11)
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Cites Work
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- Numerical algorithm for solving two-point, second-order periodic boundary value problems for mixed integro-differential equations
- A new method for solving a class of mixed boundary value problems with singular coefficient
- Numerical solution of nonlinear delay differential equations of fractional order in reproducing kernel Hilbert space
- Anti-periodic solutions for Rayleigh-type equations via the reproducing kernel Hilbert space method
- Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
- Similarities in a fifth-order evolution equation with and with no singular kernel
- Numerical solutions of nonlinear fractional model arising in the appearance of the strip patterns in two-dimensional systems
- Non validity of index law in fractional calculus: a fractional differential operator with Markovian and non-Markovian properties
- Modeling attractors of chaotic dynamical systems with fractal-fractional operators
- Piecewise reproducing kernel method for singularly perturbed delay initial value problems
- Numerical algorithm for parabolic problems with non-classical conditions
- Option pricing using a computational method based on reproducing kernel
- RKM for solving Bratu-type differential equations of fractional order
- Some temporal second order difference schemes for fractional wave equations
- High‐order difference scheme for the solution of linear time fractional klein–gordon equations
- Solving nonlocal initial-boundary value problems for parabolic and hyperbolic integro-differential equations in reproducing kernel hilbert space
- The use of He's variational iteration method for solving the telegraph and fractional telegraph equations
- Gauss‐Lobatto‐Legendre‐Birkhoff pseudospectral approximations for the multi‐term time fractional diffusion‐wave equation with Neumann boundaryconditions
- An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations
- A REPRODUCING KERNEL METHOD FOR SOLVING A CLASS OF NONLINEAR SYSTEMS OF PDES
- THE REPRODUCING KERNEL METHOD FOR SOME VARIATIONAL PROBLEMS DEPENDING ON INDEFINITE INTEGRALS
- Solving nonlinear fractional partial differential equations using the homotopy analysis method
- Solitary solutions for time-fractional nonlinear dispersive PDEs in the sense of conformable fractional derivative
- Error analysis of reproducing kernel Hilbert space method for solving functional integral equations
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