Abstract
In this work, an extension of the algebraic formulation of the Shannon wavelets for the numerical solution of a class of Volterra integro-differential equation is proposed. Our approach is based on the connection coefficients of the Shannon wavelet and collocation method for constructing the algebraic equivalent representation of the problem. Also, the Shannon approximation is applied to solve one type of nonlinear integral equation arising from chemical phenomenon. An analysis of error for the problem is given. The obtained numerical results show the accuracy of the presented method.
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Attary, M. (2017). An Extension of the Shannon Wavelets for Numerical Solution of Integro-Differential Equations. In: Ruzhansky, M., Cho, Y., Agarwal, P., Area, I. (eds) Advances in Real and Complex Analysis with Applications. Trends in Mathematics. Birkhäuser, Singapore. https://doi.org/10.1007/978-981-10-4337-6_12
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DOI: https://doi.org/10.1007/978-981-10-4337-6_12
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