Solving directly third-order ODEs using operational matrices of Bernstein polynomials method with applications to fluid flow equations
Sign Up to like & getrecommendations! Published in 2019 at "Journal of King Saud University - Science"
DOI: 10.1016/j.jksus.2018.05.002
Abstract: Abstract In this paper, we adapt for the first time the operational matrices of Bernstein polynomials method for solving directly a class of third-order ordinary differential equations (ODEs). This method gives a numerical solution by… read more here.
Keywords: bernstein polynomials; order; polynomials method; matrices bernstein ... See more keywords
Method of Particular Solutions for Second-Order Differential Equation with Variable Coefficients via Orthogonal Polynomials
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DOI: 10.1155/2023/9748605
Abstract: In this paper, with classic Legendre polynomials, a method of particular solutions (MPS, for short) is proposed to solve a kind of second-order differential equations with a variable coefficient on a unit interval. The particular… read more here.
Keywords: order differential; polynomials method; particular solutions; method particular ... See more keywords
Bernstein polynomials method and it’s error analysis for solving nonlinear problems in the calculus of variations: Convergence analysis via residual function
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DOI: 10.2298/fil1804379b
Abstract: In this paper, Bernstein polynomials method (BPM) and their operational matrices are adopted to obtain approximate analytical solutions of variational problems. The operational matrix of differentiation is introduced and utilized to reduce the calculus of… read more here.
Keywords: analysis; bernstein polynomials; polynomials method; residual function ... See more keywords