Chandrali Baishya
Department of Studies and Research in Mathematics, Tumkur University, Tumkur -572103, Karnataka, India.

DOI https://dx.doi.org/10.33889/IJMEMS.2019.4.1-016

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Abstract

This paper reflects the advantage of a new approach of using Hermite orthogonal basis elements to solve nonlinear differential equations. This method is based on a successive integration technique. To illustrate the method and to establish the efficiency of the method, it is applied to certain linear and nonlinear differential equations. The obtained numerical results show that the proposed method is a powerful numerical technique to solve nonlinear differential equations.

Keywords- Hermite polynomial basis, Collocation method, Nonlinear differential equations.

Citation

Baishya, C. (2019). A New Application of Hermite Collocation Method. International Journal of Mathematical, Engineering and Management Sciences, 4(1), 182-190. https://dx.doi.org/10.33889/IJMEMS.2019.4.1-016.