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- Title
An improved algorithm based on Haar scale 3 wavelets for the numerical solution of integro-differential equations.
- Authors
Kumar, Ratesh; Bakhtawar, Sabiha
- Abstract
The main aim of this research article is to coin a novel numerical algorithm for approximating the solutions of integro-differential equations using Haar scale 3 wavelets. Highest order derivatives involved in the integro-differential equations are approximated using Haar scale 3 functions and discretized by collocation technique. The integrals of unknown functions involved in the integro-differential equations are handled by Quadrature formula using Haar scale 3 wavelets. To explain the supermacy of the proposed algorithm. a few examples from the already published reports have been analyzed. The exact and approximate solutions are compared by calculating the errors at different collocation points. The results are presented through tables and graphs.
- Subjects
NUMERICAL solutions to integro-differential equations; BIORTHOGONAL systems; INTEGRO-differential equations; INTEGRAL functions; WAVELET transforms
- Publication
Mathematics in Engineering, Science & Aerospace (MESA), 2022, Vol 13, Issue 2, p617
- ISSN
2041-3165
- Publication type
Article