Wavelet Solution for Nonlinear Reaction-Diffusion Equations
S.G. Venkatesh1, K. Balasubramanian2, S. Raja Balachandar3
1S.G.Venkatesh, Department of Mathematics, School of Arts, Sciences and Humanities, SASTRA Deemed University, Thanjavur, India.
2K. Balasubramanian (Corresponding Author), Department of Mathematics, SASTRA Deemed University, Srinivasa Ramanujan Centre, Kumbakonam, India.
3S. Raja Balachandar, Department of Mathematics, School of Arts, Sciences and Humanities, SASTRA Deemed University, Thanjavur, India.
Manuscript received on July 20, 2019. | Revised Manuscript received on August 10, 2019. | Manuscript published on August 30, 2019. | PP: 226-229 | Volume-8 Issue-6, August 2019. | Retrieval Number: E7273068519/2019©BEIESP | DOI: 10.35940/ijeat.E7273.088619
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: In this paper, we consider Fisher’s equation to find the approximate solution to overcome the difficulty to handle its nonlinearity. For solving this nonlinear PDE, we propose a method based on Legendre wavelets with lesser number of connection coefficients. We also study the theoretical analysis and error bound for the proposed technique. Two examples are tested with the proposed method to show the applicability and efficiency. The outcomes show that this approach fulfils the error bound conditions.
Keywords: Fisher’s equation; Legendre wavelets; Convergence Analysis; Reaction-diffusion.