TY - JOUR T1 - Hermite wavelet based galerkin method for the numerical solutions of one dimensional elliptic problems AU - S. C. Shiralashetti , L. M. Angadi and S. Kumbinarasaiah JO - Journal of Information and Computing Science VL - 4 SP - 252 EP - 260 PY - 2024 DA - 2024/01 SN - 13 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22434.html KW - Hermite wavelets KW - Galerkin method KW - Elliptic problems KW - Numerical solution. AB - 1 Department of Mathematics, Karnatak University Dharwad-580003, India 2 Department of Mathematics, Govt. First Grade College, Chikodi – 591201, India (Received September 03 2018, accepted November 21 2018) Abstract Wavelet analysis is a recently developed mathematical tool in applied mathematics. In this paper, we proposed the wavelet based Galerkin method for the numerical solution of one dimensional elliptic problems using Hermite wavelets. Here, Galerkin bases are constructed Hermite functions which are orthonormal bases and these are assumed bases elements which allow us to obtain the numerical solutions of the elliptic problems. The obtained numerical solutions are compared with the existing numerical methods and exact solution. Some of the test problems are considered to demonstrate the applicability and validity of the purposed method.

S. C. Shiralashetti , L. M. Angadi and S. Kumbinarasaiah. (2024). Hermite wavelet based galerkin method for the numerical solutions of one dimensional elliptic problems. Journal of Information and Computing Science. 13 (4). 252-260. doi: