A matrix formulated algorithm for solving parabolic equations with nonlocal boundary conditions
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Publication:521933
DOI10.1007/s11075-016-0192-xzbMath1364.35138OpenAlexW2510662517MaRDI QIDQ521933
Publication date: 12 April 2017
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-016-0192-x
convergence analysisnonlinear reaction-diffusion equationnonlocal mixed boundary conditionsoperational matrix formulation
Reaction-diffusion equations (35K57) Theoretical approximation in context of PDEs (35A35) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)
Related Items (5)
Composition of Euler Scaling Functions with the Optimization Method for Fractional Hyperbolic and Reaction-Diffusion Equations with Nonlocal Boundary Conditions ⋮ Solving 2D-integro-differential problems with nonlocal boundary conditions via a matrix formulated approach ⋮ Solving parabolic integro-differential equations with purely nonlocal conditions by using the operational matrices of Bernstein polynomials ⋮ New fractional Lanczos vector polynomials and their application to system of Abel-Volterra integral equations and fractional differential equations ⋮ ERROR ANALYSIS OF LEGENDRE-GALERKIN SPECTRAL METHOD FOR A PARABOLIC EQUATION WITH DIRICHLET-TYPE NON-LOCAL BOUNDARY CONDITIONS
Cites Work
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- Radial basis function method for a multidimensional linear elliptic equation with nonlocal boundary conditions
- Numerical algorithms for diffusion-reaction problems with non-classical conditions
- Two-level fourth-order explicit schemes for diffusion equations subject to boundary integral specifications
- On a nonlocal problem with integral boundary conditions for a multidimensional elliptic equation
- On efficient numerical methods for an initial-boundary value problem with nonlocal boundary conditions
- On a numerical solution of one nonlocal boundary-value problem with mixed Dirichlet-Neumann conditions
- A note on efficient techniques for the second-order parabolic equation subject to non-local conditions
- Numerical solution of partial differential equations with variable coefficients with an operational approach to the Tau method
- An operational approach to the Tau method for the numerical solution of non-linear differential equations
- Finite difference methods for a nonlocal boundary value problem for the heat equation
- On nonlinear parabolic equations with nonlocal boundary conditions
- Finite difference approximations for a class of nonlocal parabolic equations
- Asymptotic behavior of solutions of reaction-diffusion equations with nonlocal boundary conditions
- Tau numerical solution of Fredholm integro-differential equations with arbitrary polynomial bases
- Numerical solution of differential eigenvalue problems with an operational approach to the Tau method
- A note on the second order of accuracy stable difference schemes for the nonlocal boundary value hyperbolic problem
- Some error estimates on the finite element approximation for two-dimensional elliptic problem with nonlocal boundary
- A matrix based method for two dimensional nonlinear Volterra-Fredholm integral equations
- A numerical solution for non-classical parabolic problem based on Chebyshev spectral collocation method
- Numerical solution of a nonclassical parabolic problem: an integro-differential approach
- The Crank-Nicolson Hermite Cubic Orthogonal Spline Collocation Method for the Heat Equation with Nonlocal Boundary Conditions
- Development of the Tau Method for the Numerical Solution of Two-dimensional Linear Volterra Integro-differential Equations
- Extensions of a property of the heat equation to linear thermoelasticity and other theories
- Polynomial-based mean weighted residuals methods for elliptic problems with nonlocal boundary conditions in the rectangle
- The solution of an initial-boundary value problem of the filtration theory with nonlocal boundary condition
- On iterative methods for some elliptic equations with nonlocal conditions
- An Approximation Method Based on Matrix Formulated Algorithm for the Heat Equation with Nonlocal Boundary Conditions
- Spectral Methods
- Trigonometric Interpolation of Empirical and Analytical Functions
- Elliptic Partial Differential Equations
- Numerical solutions of reaction-diffusion equations with nonlocal boundary conditions
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