Online ISSN: 2515-8260

Author : Arora, Geeta


STUDY OF SOLUTION SWIFT-HOHENBERG EQUATION

Geeta Arora

European Journal of Molecular & Clinical Medicine, 2020, Volume 7, Issue 7, Pages 3723-3736

The non-linear Swift-Hohenberg (SH) equation broadly exists as a model in the study of pattern formation. This equation is in focus of researchers because of the patterns existing in the solution. This equation models many of the fluids dynamics phenomenon and the genetic materials such as tissues in study of the pattern formation. Many of the researchers have obtained the solution of the equation based on different analytical and numerical approaches. This manuscript is dealt with the numerical solution of SH equation using the collocation approach using B-spline basis functions. For the different values of the parameters involved, the equation is studied graphically for the formation of patterns.

Meshfree Technique For The Solution Of Sine-Gordan Equation

Gurpreet Singh; Geeta Arora

European Journal of Molecular & Clinical Medicine, 2020, Volume 7, Issue 7, Pages 3420-3424

In this manuscript, a meshless technique based on radial basis function is used for solving the Sine-Gordan equation. Radial basis function combined with pseudospectral approach is used to solve the nonlinear Sine-Gordan equation. The given equation is transformed to a system of ODEs with the help of radial basis function then an ODE solver is used to solve the transformed ODEs. Numerical example is established to showcase the validness and efficiency of the method. Error norms are calculated to check the accuracy. The obtained numerical results are in good accord with the exact solution existed in literature.

Digital Storytelling In Mathematical Teaching For Higher Education

Geeta Arora

European Journal of Molecular & Clinical Medicine, 2020, Volume 7, Issue 7, Pages 3737-3742

Teaching mathematics is a challenge for a teacher, mathematics being considered as a difficult stream of science to be taught in an interesting way. Storytelling is a very popular tool that has been well developed and investigated by the researchers to get its impact on students. The objective of this project is to present an innovative proposal to teach mathematics through digital storytelling in higher education. This proposal is based on the heuristic design of emergent models about the value of storytelling in the construction of mathematical concepts. The intention of this proposal is to use digital storytelling as a tool to introduce mathematical concepts at the university level.