A Coupled Pseudospectral-Differential Quadrature Method for a Class of Hyperbolic Telegraph Equations

Differential Quadrature Solution of Hyperbolic Telegraph Equation

Differential quadrature method DQM is proposed for the numerical solution of oneand twospace dimensional hyperbolic telegraph equation subject to appropriate initial and boundary conditions. Both polynomial-based differential quadrature PDQ and Fourier-based differential quadrature FDQ are used in space directions while PDQ is made use of in time direction. Numerical solution is obtained by usi...

A numerical study of two dimensional hyperbolic telegraph equation by modified B-spline differential quadrature method

Keywords: Differential quadrature method Hyperbolic telegraph equation Modified B-spline basis functions Thomas algorithm a b s t r a c t The present paper uses a relatively new approach and methodology to solve second order two dimensional hyperbolic telegraph equation numerically. We use modified cubic B-spline basis functions based differential quadrature method for space discretization that...

The variational iteration method for a class of tenth-order boundary value differential equations

Efficient quadrature rules for a class of cordial Volterra integral equations: A comparative study

‎A natural algorithm with an optimal order of convergence is proposed for numerical solution of a class of cordial weakly singular Volterra integral equations‎. ‎The equations of this class appear in heat conduction problems with mixed boundary conditions‎. ‎The algorithm is based on a representation of the solution and compound Gaussian quadrature rules with graded meshes‎. ‎A comparative stud...

A Fourier Pseudospectral Method for Solving Coupled Viscous Burgers Equations

The Fourier pseudo-spectral method has been studied for a onedimensional coupled system of viscous Burgers equations. Two test problems with known exact solutions have been selected for this study. In this paper, the rate of convergence in time and error analysis of the solution of the first problem has been studied, while the numerical results of the second problem obtained by the present meth...