Approximate solutions of non-singular linear differential equation using Bernstein operational matrix of differentiation.
| 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.accessioned | 2023-08-19T09:16:12Z | |
| dc.date.available | 2018-04-05T08:08:41Z | |
| dc.date.available | 2023-08-19T09:16:12Z | |
| dc.date.issued | 2014 | |
| 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 [4]. 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.identifier.doi | https://www.researchgate.net/publication/312305440_Approximate_solutions_of_non-singular_linear_differential_equation_using_Bernstein_operational_matrix_of_differentiation | |
| dc.identifier.uri | https://edms.wexl.in/handle/1/1052 | |
| 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 |