Two hybrid methods for solving two-dimensional linear time-fractional partial differential equations
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Publication:1724906
DOI10.1155/2014/757204zbMath1474.65389OpenAlexW2105689912WikidataQ59041269 ScholiaQ59041269MaRDI QIDQ1724906
Publication date: 14 February 2019
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2014/757204
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)
Related Items (5)
On successive linearization method for differential equations with nonlinear conditions ⋮ An accurate spectral Galerkin method for solving multiterm fractional differential equations ⋮ Application of nonlinear time-fractional partial differential equations to image processing via hybrid Laplace transform method ⋮ Integrablization of time fractional PDEs ⋮ From stochastic processes to numerical methods: a new scheme for solving reaction subdiffusion fractional partial differential equations
Cites Work
- Unnamed Item
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- The use of Sumudu transform for solving certain nonlinear fractional heat-like equations
- A shifted Jacobi-Gauss-Lobatto collocation method for solving nonlinear fractional Langevin equation involving two fractional orders in different intervals
- A finite difference scheme for fractional sub-diffusion equations on an unbounded domain using artificial boundary conditions
- A novel method for analytical solutions of fractional partial differential equations
- A quadrature tau method for fractional differential equations with variable coefficients
- On some applications of diffusion processes for image processing
- A second-order accurate numerical method for the two-dimensional fractional diffusion equation
- Series solutions of time-fractional PDEs by homotopy analysis method
- A review of the decomposition method in applied mathematics
- On the errors incurred calculating derivatives using Chebyshev polynomials
- Variational iteration method for delay differential equations
- Roundoff error in computing derivatives using the Chebyshev differentiation matrix
- A Laplace decomposition algorithm applied to a class of nonlinear differential equations
- The operational matrix of fractional integration for shifted Chebyshev polynomials
- Analytical approximate solution for fractional heat-like and wave-like equations with variable coefficients using the decomposition method
- Solution for a fractional diffusion-wave equation defined in a bounded domain
- Finite difference approximations for fractional advection-dispersion flow equations
- Solution of nonlinear diffusion appearing in image smoothing and edge detection
- A coupled method of Laplace transform and Legendre wavelets for Lane-Emden-type differential equations
- Numerical solutions of fractional Fokker-Planck equations using iterative Laplace transform method
- Two efficient generalized Laguerre spectral algorithms for fractional initial value problems
- Numerical solution of the fractional partial differential equations by the two-dimensional fractional-order Legendre functions
- The extended trial equation method for some time fractional differential equations
- The modified trial equation method for fractional wave equation and time fractional generalized Burgers equation
- Solution of fractional partial differential equations in fluid mechanics by extension of some iterative method
- Variational iteration method for fractional calculus -- a universal approach by Laplace transform
- Couple of the variational iteration method and Legendre wavelets for nonlinear partial differential equations
- Fractional variational iteration method versus Adomian's decomposition method in some fractional partial differential equations
- A spectral Legendre-Gauss-Lobatto collocation method for a space-fractional advection diffusion equations with variable coefficients
- Parabolic and hyperbolic contours for computing the Bromwich integral
- Alternating Direction Implicit Methods
- Image Selective Smoothing and Edge Detection by Nonlinear Diffusion
- Image Selective Smoothing and Edge Detection by Nonlinear Diffusion. II
- Image Processing through Reaction Combined with Nonlinear Diffusion
- An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations
- Accuracy and Speed in Computing the Chebyshev Collocation Derivative
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