A numerical approach for solving variable order differential equations based on Bernstein polynomials. Issue 5 (23rd July 2019)

• Record Type: Journal Article
• Authors: Jafari, Hossein; Tajadodi, Haleh; Ganji, Roghayeh Moallem
• Is Part Of: Computational and mathematical methods. Volume 1:Issue 5(2019)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2019-07-23
• Subjects: Bernstein polynomials -- operational matrix -- variable order differential equations; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Periodicals; Numerical analysis; Mathematics -- Data processing; Periodicals; 004.0151
• DOI: 10.1002/cmm4.1055
• Languages: English
• ISSNs: 2577-7408

Abstract

Abstract : A numerical technique for solving a class of nonlinear variable order differential equations is introduced by using Bernstein Polynomials (BPs). Here, we apply the operational matrix of BPs. With this matrix, the main equation is transformed into a system of algebraic equations by expanding the solution as BPs with unknown coefficients. Then, by solving algebraic equations, the numerical solutions are obtained. The results of numerical examples indicate that the proposed method is computationally efficient.