dc.contributor.author Turky Alshbool, Mohammed Hamed dc.contributor.author A.S. Bataineh dc.contributor.author I. Hashim dc.date.accessioned 2018-04-05T08:08:41Z dc.date.available 2018-04-05T08:08:41Z dc.date.issued 2014 dc.identifier.uri https://dspace.adu.ac.ae/handle/1/1052 dc.description In The present paper we used Bernstein operational matrix to solve a linear and nonlinear singular boundary value problems it was solved by wavelet analysis method Nasab and Kilicman . We report our numerical ﬁnding and compare it with Wavelet method. Our results become more accurate, we can see only small number of Bernstein polynomial basis functions are needed to get the approximate solution with which is full agreement with the exact solution up to 10 digits. This article is structured as follows. In Section 2, we describe the basic formulation of Bernstein polynomials and its operational matrix diﬀerentiation. In section 3, we explain the applications of the operational matrix of derivative. In section 4, we report our numerical ﬁnding and compare it with Wavelet method , exact solution and demonstrate the validity, accuracy and applicability of the operational matrices by considering numerical examples. Section 5, consist of brief summary and conclusion en_US dc.description.abstract In this paper, exact and approximate analytical solutions of a non-singular linear diﬀerential equations are obtained by the Bernstein operational matrix of diﬀerentiation. Diﬀerent from other numerical techniques, Bernstein polynomials and their properties are employed for deriving a general procedure for forming this matrix. In The present paper we used Bernstein operational matrix to solve a linear non-singular boundary and initial value problems it was solved by wavelet analysis method. We report our numerical ﬁnding and compare it with Wavelet method. Our results become more accurate. en_US dc.language.iso en_US en_US dc.publisher The 2014 International Conference on Mathematics (SKSM22), University Malaya, Malaysia. en_US dc.subject Matrix of diﬀeren-tiation. en_US dc.subject Numerical ﬁnding en_US dc.subject Wavelet method en_US dc.title Approximate solutions of non-singular linear differential equation using Bernstein operational matrix of differentiation. en_US dc.type Article en_US
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