In the present paper, the one-dimensional Gray-Scott Reaction-diffusion equation is solved numerically with the usage of Hyperbolic B-spline along with the differential quadrature method. The hyperbolic B-spline is used to discretize the partial derivatives, by which the ordinary differential equations will be obtained which further are solved with the SSP-RK43 scheme. The efficiency and accuracy of the method are to be checked by using L ∞ and L 2 errors. The obtained numerical results are shown with help of 2D and 3D figures. As a deduction, it is concluded that the method is an efficient and effective technique for elucidating the Gray-Scott Reaction-diffusion equation and likewise for the variety of partial differential equations.

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In this paper, numerical solution of one dimensional Gray-Scott equation is obtained using Lagrange Polynomial with Differential Quadrature Method (DQM). After using DQM the considered equation converted into set of ODEs which further can be solved using Range-Kutta method. The efficiency and accuracy of the method is to be checked by using L ∞ and L 2 errors. The obtained numerical results are shown with help of 2D and 3D figures.

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