Piecewise Cubic Interpolation and Two-Point Boundary Problems

From MaRDI portal
Publication:5536991

DOI10.1093/comjnl/11.2.206zbMath0155.48004OpenAlexW2325098006MaRDI QIDQ5536991

W. G. Bickley

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 intervalsThe application of cubic trigonometric B-spline to the numerical solution of the hyperbolic problemsHigh accuracy non-polynomial spline in compression method for one-space dimensional quasi-linear hyperbolic equations with significant first order space derivative termSolution of boundary value problems by approaching spline techniquesA fitted numerical scheme for second order singularly perturbed delay differential equations via cubic spline in compressionA new variable mesh method based on non-polynomial spline in compression approximations for 1D quasilinear hyperbolic equationsA 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 equationsCubic spline for solving singular two-point boundary value problemsA fourth-order spline method for singular two-point boundary-value problemsMethods for solving singular boundary value problems using splines: a reviewCubic spline polynomial for non-linear singular two-point boundary value problemsA new fourth-order cubic spline method for second-order nonlinear two- point boundary-value problemsCompact alternating group explicit method for the cubic spline solution of two point boundary value problems with significant nonlinear first derivative termsDiscrete cubic spline method for second-order boundary value problemsHigh accuracy cubic spline approximation for two dimensional quasi-linear elliptic boundary value problemsA new numerical method based on non-polynomial spline in tension approximations for 1D quasilinear hyperbolic equations on a variable meshThe numerical solution of nonlinear singular boundary value problems arising in physiologyFree vibration of layered circular cylindrical shells of variable thickness using spline function approximationA 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 formCubic spline method for 1D wave equation in polar coordinatesA new three-level implicit cubic spline method for the solution of 1D quasi-linear hyperbolic equationsStructural schemes for one dimension stationary equationsSmooth spline approximations for the solution of a boundary value problem with engineering applicationsSpline collocation in the flow of non-Newtonian fluidsQuintic spline solutions of boundary value problemsA 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 collocationAn exponentially fitted spline method for second-order singularly perturbed delay differential equationsB-spline collocation for solution of two-point boundary value problemsWavelet Galerkin method for solving nonlinear singular boundary value problems arising in physiologyNumerical method using cubic B-spline for the heat and wave equationSpline function approximation for differential equationsHigh accuracy cubic spline finite difference approximation for the solution of one-space dimensional non-linear wave equationsFree vibration of symmetric angle-ply laminated annular circular plate of variable thickness under shear deformation theoryA cubic spline approximation and application of TAGE iterative method for the solution of two point boundary value problems with forcing function in integral formThe solution of a coupled nonlinear system arising in a three-dimensional rotating flow using spline methodCubic spline solution of two-point boundary value problems with significant first derivativesSpline collocation approach to study Brachistochrone problemQuintic nonpolynomial spline method for the solution of a second-order boundary-value problem with engineering applicationsCubic Lidstone-spline for numerical solution of BVPsNew nonpolynomial spline in compression method of \(O(k^2+k^4)\) for the solution of 1D wave equation in polar coordinatesLinear/linear rational spline collocation for linear boundary value problemsA kind of multistep finite difference methods for arbitrary order linear boundary value problemsA quartic \(B\)-spline for second-order singular boundary value problemsFree vibration of layered cylindrical shells filled with fluidApplying cubic B-spline quasi-interpolation to solve 1D wave equations in polar coordinatesA new cubic B-spline method for linear fifth order boundary value problemsSpline collocation approach to boundary value problemsCubic spline for a class of nonlinear singular boundary value problems arising in physiologyA survey on parametric spline function approximationFinite difference approximations to one-dimensional parabolic equations using a cubic spline techniqueSpline solution of non-linear singular boundary value problemsHigher order method for singular boundary-value problems by using spline functionNumerical solution of second order singularly perturbed delay differential equations via cubic spline in tensionNumerical solution of singular boundary value problems with logarithmic singularities by Padé approximation and collocation methodsDiscrete splines and its applicationsSolution of higher order boundary value problems by spline methodsA method of numerical solution of functional equationsCubic spline fractal solutions of two-point boundary value problems with a non-homogeneous nowhere differentiable termOptimal-order isogeometric collocation at Galerkin superconvergent pointsSpline functions as approximate solutions of boundary-value problemsA Collocation Method for Two-Point Boundary Value ProblemsCubic spline iterative method for Poisson's equation in cylindrical polar coordinatesA fourth-order spline finite difference method for singular two-point boundary value problemsPiecewise cubic interpolation and two-point boundary value problemsComputational Techniques for Solving Differential Equations by Cubic, Quintic, and Sextic SplineParametric cubic spline solution of two point boundary value problemsVariable-mesh difference scheme for singularly-perturbed boundary-value problems using splinesOn the use of cubic splines to solve certain circular plate problemsNew cubic B-spline approximation for solving third order Emden-Flower type equationsSpline based computational technique for linear singularly perturbed boundary value problemsCubic spline for a class of singular two-point boundary value problemsA spline method for second-order singularly perturbed boundary-value problems




This page was built for publication: Piecewise Cubic Interpolation and Two-Point Boundary Problems