Ritz‐Galerkin method with Bernstein polynomial basis for finding the product solution form of heat equation with non‐classic boundary conditions

DOI10.1108/09615531211188784zbMath1356.80055OpenAlexW2001973533MaRDI QIDQ2966954

Sohrab Ali Yousefi, Z. Barikbin, Mehdi Dehghan

Publication date: 28 February 2017

Published in: International Journal of Numerical Methods for Heat & Fluid Flow (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/09615531211188784

zbMATH Keywords

differential equationsboundary value problemheatone-dimensional parabolic equationmathematicsBernstein polynomial basisnon-classic boundary conditionsritz-galerkin method

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10)

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Application of the Ritz-Galerkin method for recovering the spacewise-coefficients in the wave equation ⋮ Determination of space–time-dependent heat source in a parabolic inverse problem via the Ritz–Galerkin technique ⋮ An Efficient Numerical Solution of Fractional Optimal Control Problems by using the Ritz Method and Bernstein Operational Matrix ⋮ A Ritz-Galerkin approximation to the solution of parabolic equation with moving boundaries ⋮ Ritz‐Galerkin method with Bernstein polynomial basis for finding the product solution form of heat equation with non‐classic boundary conditions ⋮ A new operational matrix method based on the Bernstein polynomials for solving the backward inverse heat conduction problems ⋮ Numerical solution of 2D fractional optimal control problems by the spectral method along with Bernstein operational matrix ⋮ Unnamed Item ⋮ Comparative experiment on the numerical solutions of Hammerstein integral equation arising from chemical phenomenon ⋮ Two-dimensional Bernoulli wavelets with satisfier function in the Ritz-Galerkin method for the time fractional diffusion-wave equation with damping ⋮ Numerical solution of nonlinear Fredholm integrodifferential equations by hybrid of block-pulse functions and normalized Bernstein polynomials ⋮ Retracted: Solution of nonlinear Fredholm integro-differential equations using a hybrid of block pulse functions and normalized Bernstein polynomials ⋮ Ritz-Galerkin method for solving a parabolic equation with non-local and time-dependent boundary conditions ⋮ The Ritz-Galerkin procedure for an inverse space-dependent heat source problem ⋮ Ritz–Galerkin method for solving an inverse problem of parabolic equation with moving boundaries and integral condition ⋮ Ritz–Galerkin method for solving an inverse heat conduction problem with a nonlinear source term via Bernstein multi-scaling functions and cubic B-spline functions

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