Numerical method using cubic trigonometric B-spline technique for nonclassical diffusion problems
From MaRDI portal
Publication:1725123
DOI10.1155/2014/849682zbMath1474.65380OpenAlexW2086594209WikidataQ59042016 ScholiaQ59042016MaRDI QIDQ1725123
Publication date: 14 February 2019
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2014/849682
Numerical computation using splines (65D07) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Spline approximation (41A15)
Related Items
Trigonometric B-spline based ε-uniform scheme for singularly perturbed problems with Robin boundary conditions, A numerical scheme for the wave simulations of the Kuramoto-Sivashinsky model via quartic-trigonometric tension B-spline, Numerical solution of the coupled Burgers equation by trigonometric B‐spline collocation method, Trigonometric cubic B-spline collocation algorithm for numerical solutions of reaction-diffusion equation systems, Application of hybrid cubic B-spline collocation approach for solving a generalized nonlinear Klein-Gordon equation, Unnamed Item, Hybrid B-spline collocation method for solving the generalized Burgers-Fisher and Burgers-Huxley equations, Cubic B-spline Galerkin method for numerical solution of the coupled nonlinear Schrödinger equation, A cubic trigonometric B-spline collocation approach for the fractional sub-diffusion equations, A new variant of B-spline for the solution of modified fractional anomalous subdiffusion equation, Numerical simulations of reaction-diffusion systems in biological and chemical mechanisms with quartic-trigonometric B-splines, The numerical solution of advection-diffusion problems using new cubic trigonometric B-splines approach, Higher order trigonometric B-spline algorithms to the solution of coupled Burgers’ equation, THEORETICAL AND NUMERICAL STUDIES OF TWO POINT BOUNDARY VALUE PROBLEMS USING TRIGONOMETRIC AND EXPONENTIAL CUBIC B-SPLINES, NUMERICAL TREATMENT OF FIRST ORDER MATRIX DIFFERENTIAL EQUATIONS USING DIFFERENT CUBIC B-SPLINE FUNCTIONS
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The application of cubic trigonometric B-spline to the numerical solution of the hyperbolic problems
- New algorithm for nonclassical parabolic problems based on the reproducing kernel method
- Cubic B-spline collocation method for one-dimensional heat and advection-diffusion equations
- Galerkin methods for a semilinear parabolic problem with nonlocal boundary conditions
- Numerical solution of the coupled viscous Burgers equation
- Quintic B-spline collocation method for numerical solution of the Kuramoto-Sivashinsky equation
- On the solution of the non-local parabolic partial differential equations via radial basis functions
- A note on efficient techniques for the second-order parabolic equation subject to non-local conditions
- Finite difference methods for a nonlocal boundary value problem for the heat equation
- Solving parabolic integro-differential equations by an explicit integration method
- A practical guide to splines
- Numerical solution of a parabolic equation with non-local boundary specifications
- A method of solution for the one-dimensional heat equation subject to nonlocal conditions
- Application of cubic B-spline finite element technique to the thermistor problem.
- Efficient techniques for the second-order parabolic equation subject to nonlocal specifications
- On the numerical solution of the diffusion equation with a nonlocal boundary condition
- A numerical solution of the Burgers' equation using cubic B-splines
- A numerical procedure for diffusion subject to the specification of mass
- Numerical solution of the heat equation with nonlocal boundary conditions
- The numerical solution of fifth-order boundary value problems with sixth-degree B-spline functions
- Reaction diffusion equations with nonlocal boundary and nonlocal initial conditions
- On the numerical solution of the heat conduction equations subject to nonlocal conditions
- The Viro method for construction of \(C^r\) piecewise algebraic hypersurfaces
- A numerical solution for non-classical parabolic problem based on Chebyshev spectral collocation method
- Numerical method using cubic B-spline for the heat and wave equation
- The inverse problem of the heat equation with periodic boundary and integral overdetermination conditions
- A computational study of the one-dimensional parabolic equation subject to nonclassical boundary specifications
- A decreasing property of solutions of parabolic equations with applications to thermoelasticity
- Extensions of a property of the heat equation to linear thermoelasticity and other theories
- A parabolic equation with nonlocal boundary conditions arising from electrochemistry
- Parabolic equations and thermodynamics
- The numerical solution of third-order boundary-value problems with fourth-degree &B-spline functions
- Numerical methods for nonlinear integro-parabolic equations of Fredholm type