NUMERICAL SOLUTION OF VARIABLE-ORDER TIME FRACTIONAL WEAKLY SINGULAR PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS WITH ERROR ESTIMATION
DOI10.3846/mma.2020.11692OpenAlexW3151727552WikidataQ115219524 ScholiaQ115219524MaRDI QIDQ5016273
Haniye Dehestani, Mohsen Razzaghi, Yadollah Ordokhani
Publication date: 13 December 2021
Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3846/mma.2020.11692
weakly singular kernelvariable-order fractional partial integro-differential equationspseudo-operational matrixLegendre-Laguerre functions
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for numerical methods for ordinary differential equations (65L70) Integro-partial differential equations (35R09) Numerical analysis (65-XX)
Related Items (11)
Cites Work
- Unnamed Item
- A novel numerical method for the time variable fractional order mobile-immobile advection-dispersion model
- Synthesis of multifractional Gaussian noises based on variable-order fractional operators
- A stable three-level explicit spline finite difference scheme for a class of nonlinear time variable order fractional partial differential equations
- Time discretization via Laplace transformation of an integro-differential equation of parabolic type
- Nonlinear dynamics and control of a variable order oscillator with application to the van der Pol equation
- Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation
- A finite difference scheme for partial integro-differential equations with a weakly singular kernel
- An integro quadratic spline approach for a class of variable-order fractional initial value problems
- Operational matrix approach for the solution of partial integro-differential equation
- Numerical solution of nonlinear weakly singular partial integro-differential equation via operational matrices
- Two dimensional wavelets collocation scheme for linear and nonlinear Volterra weakly singular partial integro-differential equations
- A reliable treatment for mixed Volterra-Fredholm integral equations
- Numerical solution of a class of two-dimensional nonlinear Volterra integral equations using Legendre polynomials
- Numerical solution of variable-order fractional integro-partial differential equations via sinc collocation method based on single and double exponential transformations
- On the variable order dynamics of the nonlinear wake caused by a sedimenting particle
- Fractional-order Legendre-Laguerre functions and their applications in fractional partial differential equations
- A numerical method for solving the time variable fractional order mobile-immobile advection-dispersion model
- New study of weakly singular kernel fractional fourth-order partial integro-differential equations based on the optimum \(q\)-homotopic analysis method
- A computational approach for the solution of a class of variable-order fractional integro-differential equations with weakly singular kernels
- Control of damping oscillations by fractional differential operator with time-dependent order
- Solution of a partial integro-differential equation arising from viscoelasticity
- Spline Collocation Methods for a Class of Hyperbolic Partial Integro-Differential Equations
- Mechanics with variable-order differential operators
- Convergence rate of collocation method based on wavelet for nonlinear weakly singular partial integro‐differential equation arising from viscoelasticity
- The variable viscoelasticity oscillator
- Application of the modified operational matrices in multiterm variable‐order time‐fractional partial differential equations
- Spectral Methods
- Temperature of a nonlinearly radiating semi-infinite solid
- Numerical solution of fractional delay differential equation by shifted Jacobi polynomials
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