The operational matrices of Bernstein polynomials for solving the parabolic equation subject to specification of the mass

• Published in: Journal of computational and applied mathematics Vol. 235; no. 17; pp. 5272 - 5283
• Main Authors: Yousefi, S.A., Behroozifar, M., Dehghan, Mehdi
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier B.V 01.07.2011; Elsevier
• Subjects: Approximation; Bernstein basis; Boundaries; Exact sciences and technology; Integral condition; Mathematical analysis; Mathematical models; Mathematics; Matrices; Matrix methods; Nonlocal boundary conditions; Numerical analysis; Numerical analysis. Scientific computation; Numerical methods in probability and statistics; One-dimensional parabolic equation; Operational matrices; Partial differential equations; Partial differential equations, boundary value problems; Partial differential equations, initial value problems and time-dependant initial-boundary value problems; Sciences and techniques of general use; Specification of mass; Specifications; Integral condition; Nonlocal boundary conditions; Bernstein basis; One-dimensional parabolic equation; Operational matrices; Specification of mass; Integration; Initial value problem; Polynomial equation; Numerical method; Boundary condition; Stochastic method; Partial differential equation; Implementation; Bernstein polynomial; Parabolic equation; Numerical analysis; Boundary value problem; One-dimensional calculations; Applied mathematics; Algebraic equation

Some physical problems in science and engineering are modelled by the parabolic partial differential equations with nonlocal boundary specifications. In this paper, a numerical method which employs the Bernstein polynomials basis is implemented to give the approximate solution of a parabolic partial...