6 papers
An algorithm based on a new DQM with modified exponential cubic B-splines for solving hyperbolic telegraph equation in dimension
Brajesh Kumar Singh, Pramod Kumar
This paper developed a method called "modified exponential cubic B-Spline differential quadrature (mExp-DQM) for space discretization together with a time integration algorithm" fo…
Algorithms based on DQM with new sets of base functions for solving parabolic partial differential equations in dimension
Brajesh Kumar Singh, Pramod Kumar
This paper deals with the numerical computations of two space dimensional time dependent parabolic partial differential equations by adopting adopting an optimal five stage fourth-…
A New Approximate Solution of Time-Fractional, Non-linear Schrodinger Equations Using Fractional Reduced Differential Transformation
Brajesh Kumar Singh, Pramod Kumar
This paper is concerned with an alternative analytical solution of time-fractional nonlinear Schrodinger equation and nonlinear coupled Schrodinger equation obtained by employing f…
Homotopy perturbation transform method for solving fractional partial differential equations with proportional delay
Brajesh Kumar Singh, Pramod Kumar
This paper deals the implementation of \emph{homotopy perturbation transform method} (HPTM) for numerical computation of initial valued autonomous system of time-fractional partial…
A new numerical algorithm for the solutions of hyperbolic partial differential equations in -dimensional space
Brajesh Kumar Singh
This paper deals with a construction of new algorithm: the modified trigonometric cubic B-Spline differential quadrature (MTB-DQM) for space discretization together with a time int…
An algorithm based on DQM with modified trigonometric cubic Bsplines for solving coupled viscous Burgers equations
Brajesh Kumar Singh, Pramod Kumar
This paper deals with a new algorithm called modified trigonometric cubic B-spline differential quadrature method for numerical computation of the time dependent partial differenti…