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Ayyaswamy, S. K.
- Wavelet Solution for Class of Nonlinear Integro-differential Equations
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Authors
Affiliations
1 Department of Mathematics, School of Humanities and Sciences, SASTRA University, Thanjavur-613401, Tamilnadu, IN
1 Department of Mathematics, School of Humanities and Sciences, SASTRA University, Thanjavur-613401, Tamilnadu, IN
Source
Indian Journal of Science and Technology, Vol 6, No 6 (2013), Pagination: 4670-4677Abstract
The aim of this work is to study the Legendre wavelets for the solution of a class of nonlinear Volterra integro-differential equation. The properties of Legendre wavelets together with the Gaussian integration method are used to reduce the problem to the solution of nonlinear algebraic equations. Also a reliable approach for convergence of the Legendre wavelet method when applied to nonlinear Volterra equations is discussed. Illustrative examples have been discussed to demonstrate the validity and applicability of the technique and the results obtained by Legendre wavelet method is very nearest to the exact solution. The results demonstrate reliability and efficiency of the proposed method.Keywords
Legendre Wavelets, Integro-differential Equations, Gaussian Integration, Legendre Wavelet Method, Convergence AnalysisFull Text
References
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- A Note on the Chromatic Transversal Domination Number of a Class of Graphs
Abstract Views :232 |
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Authors
Affiliations
1 Department of Mathematics, School of Humanities and Sciences, SASTRA University, Thanjavur-613 401, IN
1 Department of Mathematics, School of Humanities and Sciences, SASTRA University, Thanjavur-613 401, IN
Source
The Journal of the Indian Mathematical Society, Vol 83, No 3-4 (2016), Pagination: 323–328Abstract
Let G = (V, E) be a graph with chromatic number Χ(G). A dominating set D of G is called a chromatic transversal dominating set (ctd-set, in short) if D intersects every colour class of every Χ-partition of G. The minimum cardinality of a ctd-set of G is called the chromatic transversal domination number of G and is denoted by ϒct(G). In this paper we solve a few open problems pertaining to this parameter for Shadow graph and Mycielskian graph of any graph G.Keywords
Domination, Colouring, Chromatic Transversal Domination.
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