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A Robust Iterative Approach for Space-Time Fractional Multidimensional Telegraph Equation
The aim of the study is to analyze space-time fractional multidimensional telegraph equation using a generalized transform method. Fractional...
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A High Order Numerical Scheme for Time-Fractional Telegraph Equation Via Cubic Spline in Tension
In this work, we examine the numerical solution of the time-fractional telegraph equation by applying a higher-order numerical scheme via the tension...
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Time-dependent identification problem for a fractional Telegraph equation with the Caputo derivative
This study investigates the inverse problem of determining the right-hand side of a telegraph equation given in a Hilbert space. The main equation...
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A convergent exponential B-spline collocation method for a time-fractional telegraph equation
This work aims to develop and analyze a numerical method for solving a time-fractional telegraph equation of Caputo type. The method is constructed...
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A Fully Finite Difference Scheme for Time-Fractional Telegraph Equation Involving Atangana Baleanu Caputo Fractional Derivative
In this paper, a fully finite difference scheme is studied for an Atangana Baleanu Caputo (ABC) derivative time fractional Telegraph equation (TFTE)...
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A novel adaptive meshless method for solving the nonlinear time fractional telegraph equations on arbitrary domains
A novel adaptive meshless numerical method for tackling with the two-dimensional time fractional telegraph equations on arbitrary domains based on...
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Method of separation of variables and exact solution of time fractional nonlinear partial differential and differential-difference equations
In this article we consider a certain class of time fractional nonlinear partial differential equations as well as partial differential-difference...
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An efficient algorithm for solving the variable-order time-fractional generalized Burgers’ equation
A numerical scheme based on the Haar wavelets coupled with the nonstandard finite difference scheme is presented to solve the variable-order...
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Series Solution to Fractional Telegraph Equations Using an Iterative Scheme Based on Yang Transform
In the present paper, an iterative scheme based on Yang transform has been used to obtain series solutions to 1D , 2D and 3D fractional hyperbolic...
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A numerical technique based on Legendre wavelet for linear and nonlinear hyperbolic telegraph equation
This study is devoted to the numerical investigation of linear and nonlinear hyperbolic telegraph equation. We have proposed a wavelet collocation...
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Five semi analytical and numerical simulations for the fractional nonlinear space-time telegraph equation
The accuracy of analytical obtained solutions of the fractional nonlinear space–time telegraph equation that has been constructed in (Hamed and...
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Stability analysis of a second-order difference scheme for the time-fractional mixed sub-diffusion and diffusion-wave equation
This study investigates a class of initial-boundary value problems pertaining to the time-fractional mixed sub-diffusion and diffusion-wave equation...
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Extended Legendre Wavelet Method for Solving Fractional Order Time Hyperbolic Partial Differential Equation
An efficient numerical technique is developed for solving fractional order time hyperbolic partial differential equations by using the extended...
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A time-fractional superdiffusion wave-like equation with subdiffusion possibly dam** term: well-posedness and Mittag-Leffler stability
In this article, we focus on the application of the recent notion of time-fractional derivative developed in Sobolev spaces to the study of...
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A fast finite difference method for 2D time variable fractional mobile/immobile equation
In this paper, we establish a fast Crank–Nicolson L1 finite difference scheme for two-dimensional time variable fractional mobile/immobile diffusion...
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An efficient cubic trigonometric B-spline collocation scheme for the time-fractional telegraph equation
In this paper, a proficient numerical technique for the time-fractional telegraph equation (TFTE) is proposed. The chief aim of this paper is to...
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Numerical Approximation of Fractional Telegraph Equation via Legendre Collocation Technique
The present study concerns with the numerical solution of space-time fractional-order telegraph equations (FOTE) on the transmission line. The...
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High-order rotated grid point iterative method for solving 2D time fractional telegraph equation and its convergence analysis
In this paper, the compact finite difference (CFD) and rotated four-point compact explicit decoupled group (CEDG) methods are proposed to solve the...
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Approximate Solutions of Time-Fractional Swift–Hohenberg Equation via Natural Transform Decomposition Method
In this study, we apply the natural transform decomposition approach to analyse the time-fractional Swift–Hohenberg problem. The Caputo derivative, a...
