3 citations · 3 across the 3 of their papers we have counts for
5 papers
Non-Polynomial Quintic Spline for Numerical Solution of Fourth--Order Time Fractional Partial Differential Equations
Muhammad Abbas
This paper presents a novel approach for numerical solution of a class of fourth order time fractional partial differential equations (PDE's). The finite difference formulation has…
The application of cubic trigonometric B-spline to the numerical solution of time-fractional telegraph equation
Muhammad Yaseen, Muhammad Abbas
In this paper, an efficient numerical technique for the time-fractional telegraph equation is proposed. The aim of this paper is to use a relatively new type of B-spline called the…
An Efficient Computational Technique based on Cubic Trigonometric B-splines for Time Fractional Burgers' Equation
Muhammad Yaseen, Muhammad Abbas
This paper presents a linear computational technique based on cubic trigonometric cubic B-splines for time fractional burgers' equation. The nonlinear advection term is approximate…
A Finite Difference Scheme based on Cubic Trigonometric B-splines for Time Fractional Diffusion-wave Equation
Muhammad Abbas
In this paper, we propose an efficient numerical scheme for the approximate solution of the time fractional diffusion-wave equation with reaction term based on cubic trigonometric…
Numerical Solution of second order hyperbolic telegraph equation via new Cubic Trigonometric B-Splines Approach
Tahir Nazir, Muhammad Abbas, Ahmad Izani Md. Ismail +1
This paper presents a new approach and methodology to solve the second order one dimensional hyperbolic telegraph equation with Dirichlet and Neumann boundary conditions using the…