HomeAbstract of 3rd-icarestNumerical regime “Uniform Algebraic Hyperbolic tension B-spline DQM” for the solution of Fisher’s Reaction-Diffusion equation

Numerical regime “Uniform Algebraic Hyperbolic tension B-spline DQM” for the solution of Fisher’s Reaction-Diffusion equation

  • Nov 17, 2020
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Proceedings of ‏The 3rd International Conference on Applied Research in Engineering, Science and Technology

Year: 2020

DOI:

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Numerical regime “Uniform Algebraic Hyperbolic tension B-spline DQM” for the solution of Fisher’s Reaction-Diffusion equation

Mamta Kapoor, Varun Joshi

 

ABSTRACT: 

In present paper, “Modified Uniform Algebraic Hyperbolic (UAH) tension B-spline based Differential quadrature method” is implemented to obtain the numerical solution of Fisher’s reaction-diffusion equation. In this work, modified UAH tension B-spline of order 4 is considered as basis function, in order to evaluate the required weighting coefficients in differential quadrature method. Reduced system of ordinary differential equations is solved by implementing the SSP-RK 43 scheme. Accuracy of the present scheme is checked by means of  and  error norms. Present scheme is easy to implement and produced acceptable results.

Keywords: Fisher’s Reaction-Diffusion equation, UAH tension B-spline, Differential quadrature method, SSP-RK43 scheme.