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Application of the Fractional Sturm–Liouville Theory to a Fractional Sturm–Liouville Telegraph Equation
In this paper, we consider a non-homogeneous time–space-fractional telegraph equation in n -dimensions, which is obtained from the standard telegraph...
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An RBF Based Finite Difference Method for the Numerical Approximation of Multi-term Nonlinear Time Fractional Two Dimensional Diffusion-Wave Equation
The main goal of this manuscript is to develop an RBF-based meshfree method to solve the multi-term time-fractional nonlinear two-dimensional...
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Numerical Simulation of Time and Space Fractional Partial Differential Equation via 3-Scale Haar Wavelet
In this article, we present a numerical algorithm based on the 3-Scale Haar approach for the numerical solution of the fractional partial...
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Orthogonal spline collocation method for the two-dimensional time fractional mobile-immobile equation
The objective of this paper is to find the numerical solution of two-dimensional multi-term time fractional mobile-immobile equation. The proposed...
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On numerical simulations of time fractional Phi-four equation using Caputo derivative
The fractional model which played an essential role in nuclear and particle physics used to describe the nuclear element interaction is the Phi-four...
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Spectral Galerkin treatment of linear one-dimensional telegraph type problem via the generalized Lucas polynomials
The major goal of this research is to develop and test a numerical technique for solving a linear one-dimensional telegraph problem. The generalized...
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Advanced shifted sixth-kind Chebyshev tau approach for solving linear one-dimensional hyperbolic telegraph type problem
A new numerical scheme based on the tau spectral method for solving the linear hyperbolic telegraph type equation is presented and implemented. The...
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Extended cubic B-splines in the numerical solution of time fractional telegraph equation
A finite difference scheme based on extended cubic B-spline method for the solution of time fractional telegraph equation is presented and discussed....
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A higher order unconditionally stable numerical technique for multi-term time-fractional diffusion and advection–diffusion equations
Constructing a higher order collocation framework for solving the Caputo multi-term time-fractional advection–diffusion and diffusion-type problems...
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On the recovery of a time dependent diffusion coefficient for a space fractional diffusion equation
An inverse problem of recovering a time dependent diffusion coefficient for a space-fractional diffusion equation has been considered. The space...
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Solving the Euler–Poisson–Darboux Equation of Fractional Order
Interest in fractional ordinary and partial differential equations has been steadily increasing in the recent decades. This is due to the necessity...
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Numerical solution of two-dimensional inverse time-fractional diffusion problem with non-local boundary condition using a-polynomials
In this paper, we obtain the numerical solution of two-dimensional inverse time-fractional diffusion problem with non-local boundary condition using a ...
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Fourth-order cubic B-spline collocation method for hyperbolic telegraph equation
In this article, a new method based on collocation of cubic B splines to find the numerical solution of one dimensional second-order hyperbolic...
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A tau method based on Jacobi operational matrix for solving fractional telegraph equation with Riesz-space derivative
In this paper, we have presented an accurate and impressive spectral algorithm for solving fractional telegraph equation with Riesz-space derivative...
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Sinc-Galerkin method for solving the time fractional convection–diffusion equation with variable coefficients
In this paper, a new numerical algorithm for solving the time fractional convection–diffusion equation with variable coefficients is proposed. The...
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Application of combination schemes based on radial basis functions and finite difference to solve stochastic coupled nonlinear time fractional sine-Gordon equations
One of the most powerful tools for solving partial differential equations is approximation using the radial basis functions (RBFs). This method can...
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A Meshless Solution for the Variable-Order Time Fractional Nonlinear Klein–Gordon Equation
In this paper, we study the variable-order (V-O) time fractional Klein–Gordon equation which widely appears in the various fields of engineering and...
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A Compact Difference Scheme on Graded Meshes for the Nonlinear Fractional Integro-differential Equation with Non-smooth Solutions
In this paper, a compact finite difference scheme for the nonlinear fractional integro-differential equation with weak singularity at the initial...