Piecewise Cubic Interpolation and Two-Point Boundary Problems
From MaRDI portal
Publication:5536991
DOI10.1093/comjnl/11.2.206zbMath0155.48004OpenAlexW2325098006MaRDI QIDQ5536991
Publication date: 1968
Published in: The Computer Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1093/comjnl/11.2.206
Related Items
Cubic spline solutions of boundary value problems over infinite intervals ⋮ The application of cubic trigonometric B-spline to the numerical solution of the hyperbolic problems ⋮ High accuracy non-polynomial spline in compression method for one-space dimensional quasi-linear hyperbolic equations with significant first order space derivative term ⋮ Solution of boundary value problems by approaching spline techniques ⋮ A fitted numerical scheme for second order singularly perturbed delay differential equations via cubic spline in compression ⋮ A new variable mesh method based on non-polynomial spline in compression approximations for 1D quasilinear hyperbolic equations ⋮ A new spline in compression method of order four in space and two in time based on half-step grid points for the solution of the system of 1D quasi-linear hyperbolic partial differential equations ⋮ Cubic spline for solving singular two-point boundary value problems ⋮ A fourth-order spline method for singular two-point boundary-value problems ⋮ Methods for solving singular boundary value problems using splines: a review ⋮ Cubic spline polynomial for non-linear singular two-point boundary value problems ⋮ A new fourth-order cubic spline method for second-order nonlinear two- point boundary-value problems ⋮ Compact alternating group explicit method for the cubic spline solution of two point boundary value problems with significant nonlinear first derivative terms ⋮ Discrete cubic spline method for second-order boundary value problems ⋮ High accuracy cubic spline approximation for two dimensional quasi-linear elliptic boundary value problems ⋮ A new numerical method based on non-polynomial spline in tension approximations for 1D quasilinear hyperbolic equations on a variable mesh ⋮ The numerical solution of nonlinear singular boundary value problems arising in physiology ⋮ Free vibration of layered circular cylindrical shells of variable thickness using spline function approximation ⋮ A new spline-in-tension method of \(\mathrm{O}(k^{2}+h^{4})\) based on off-step grid points for the solution of 1D quasi-linear hyperbolic partial differential equations in vector form ⋮ Cubic spline method for 1D wave equation in polar coordinates ⋮ A new three-level implicit cubic spline method for the solution of 1D quasi-linear hyperbolic equations ⋮ Structural schemes for one dimension stationary equations ⋮ Smooth spline approximations for the solution of a boundary value problem with engineering applications ⋮ Spline collocation in the flow of non-Newtonian fluids ⋮ Quintic spline solutions of boundary value problems ⋮ A second order spline finite difference method for singular two-point boundary value problems. ⋮ Highly accurate method for solving singular boundary-value problems via Padé approximation and two-step quartic B-spline collocation ⋮ An exponentially fitted spline method for second-order singularly perturbed delay differential equations ⋮ B-spline collocation for solution of two-point boundary value problems ⋮ Wavelet Galerkin method for solving nonlinear singular boundary value problems arising in physiology ⋮ Numerical method using cubic B-spline for the heat and wave equation ⋮ Spline function approximation for differential equations ⋮ High accuracy cubic spline finite difference approximation for the solution of one-space dimensional non-linear wave equations ⋮ Free vibration of symmetric angle-ply laminated annular circular plate of variable thickness under shear deformation theory ⋮ A cubic spline approximation and application of TAGE iterative method for the solution of two point boundary value problems with forcing function in integral form ⋮ The solution of a coupled nonlinear system arising in a three-dimensional rotating flow using spline method ⋮ Cubic spline solution of two-point boundary value problems with significant first derivatives ⋮ Spline collocation approach to study Brachistochrone problem ⋮ Quintic nonpolynomial spline method for the solution of a second-order boundary-value problem with engineering applications ⋮ Cubic Lidstone-spline for numerical solution of BVPs ⋮ New nonpolynomial spline in compression method of \(O(k^2+k^4)\) for the solution of 1D wave equation in polar coordinates ⋮ Linear/linear rational spline collocation for linear boundary value problems ⋮ A kind of multistep finite difference methods for arbitrary order linear boundary value problems ⋮ A quartic \(B\)-spline for second-order singular boundary value problems ⋮ Free vibration of layered cylindrical shells filled with fluid ⋮ Applying cubic B-spline quasi-interpolation to solve 1D wave equations in polar coordinates ⋮ A new cubic B-spline method for linear fifth order boundary value problems ⋮ Spline collocation approach to boundary value problems ⋮ Cubic spline for a class of nonlinear singular boundary value problems arising in physiology ⋮ A survey on parametric spline function approximation ⋮ Finite difference approximations to one-dimensional parabolic equations using a cubic spline technique ⋮ Spline solution of non-linear singular boundary value problems ⋮ Higher order method for singular boundary-value problems by using spline function ⋮ Numerical solution of second order singularly perturbed delay differential equations via cubic spline in tension ⋮ Numerical solution of singular boundary value problems with logarithmic singularities by Padé approximation and collocation methods ⋮ Discrete splines and its applications ⋮ Solution of higher order boundary value problems by spline methods ⋮ A method of numerical solution of functional equations ⋮ Cubic spline fractal solutions of two-point boundary value problems with a non-homogeneous nowhere differentiable term ⋮ Optimal-order isogeometric collocation at Galerkin superconvergent points ⋮ Spline functions as approximate solutions of boundary-value problems ⋮ A Collocation Method for Two-Point Boundary Value Problems ⋮ Cubic spline iterative method for Poisson's equation in cylindrical polar coordinates ⋮ A fourth-order spline finite difference method for singular two-point boundary value problems ⋮ Piecewise cubic interpolation and two-point boundary value problems ⋮ Computational Techniques for Solving Differential Equations by Cubic, Quintic, and Sextic Spline ⋮ Parametric cubic spline solution of two point boundary value problems ⋮ Variable-mesh difference scheme for singularly-perturbed boundary-value problems using splines ⋮ On the use of cubic splines to solve certain circular plate problems ⋮ New cubic B-spline approximation for solving third order Emden-Flower type equations ⋮ Spline based computational technique for linear singularly perturbed boundary value problems ⋮ Cubic spline for a class of singular two-point boundary value problems ⋮ A spline method for second-order singularly perturbed boundary-value problems
This page was built for publication: Piecewise Cubic Interpolation and Two-Point Boundary Problems