A superconvergent B-spline technique for second order nonlinear boundary value problems

DOI10.1016/j.amc.2021.126615OpenAlexW3196856483MaRDI QIDQ2247090

V. M. K. Prasad Goura, Pradip Roul

Publication date: 16 November 2021

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2021.126615

zbMATH Keywords

convergence analysisboundary value problemsB-splineCPU timehigh-accuracy

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (1)

An optimal computational method for a general class of nonlinear boundary value problems

Cites Work

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• A unified approach to singular problems arising in the membrane theory
• A quartic \(B\)-spline for second-order singular boundary value problems
• B-spline solution of non-linear singular boundary value problems arising in physiology
• Solutions of singular IVPs of Lane-Emden type by homotopy perturbation method
• Homotopy analysis method applied to electrohydrodynamic flow
• On solvability of derivative dependent doubly singular boundary value problems
• On the convergence of a fourth-order method for a class of singular boundary value problems
• Solutions of singular IVPs of Lane-Emden type by the variational iteration method
• Pointwise bounds for a nonlinear heat conduction model of the human head
• A simplified mathematical model of tumor growth
• Order \(h^ 2\) method for a singular two-point boundary value problem
• A fourth order method for a singular two-point boundary value problem
• Spline finite difference methods for singular two point boundary value problems
• A practical guide to splines
• Nonlinear boundary value problems for shallow membrane caps. II
• On the convergence of a finite difference method for a class of singular boundary value problems arising in physiology.
• A new high-order numerical method for solving singular two-point boundary value problems
• A high-order \(B\)-spline collocation method for solving nonlinear singular boundary value problems arising in engineering and applied science
• Existence of solutions for some nonlinear singular boundary value problems
• A difference scheme based on non-uniform mesh for singular two-point boundary value problems
• Numerical solution of doubly singular boundary value problems by finite difference method
• B-spline collocation methods and their convergence for a class of nonlinear derivative dependent singular boundary value problems
• A compact finite difference method for a general class of nonlinear singular boundary value problems with Neumann and Robin boundary conditions
• A sixth-order numerical method for a strongly nonlinear singular boundary value problem governing electrohydrodynamic flow in a circular cylindrical conduit
• Non-optimal fourth-order and optimal sixth-order B-spline collocation methods for Lane-Emden boundary value problems
• A mixed decomposition-spline approach for the numerical solution of a class of singular boundary value problems
• A modified homotopy perturbation method coupled with the Fourier transform for nonlinear and singular Lane-Emden equations
• Parametric spline method for a class of singular two-point boundary value problems
• B-spline method for a class of singular two-point boundary value problems using optimal grid
• Cubic spline polynomial for non-linear singular two-point boundary value problems
• A new numerical approach for solving a class of singular two-point boundary value problems
• Cubic spline for a class of nonlinear singular boundary value problems arising in physiology
• An approximation algorithm for the solution of the Lane-Emden type equations arising in astrophysics and engineering using Hermite polynomials
• NUMERICAL SOLUTION FOR THE NONLINEAR EMDEN–FOWLER TYPE EQUATIONS BY A FOURTH-ORDER ADAPTIVE METHOD
• On the numerical solution of singular two-point boundary value problems: A domain decomposition homotopy perturbation approach
• Existence of solutions for nonlinear singular boundary value problems
• On the convergence of a finite difference method for a class of singular two point boundary value problems
• Existence of solutions of a kind of singular boundary value problem
• Calculation of Electrohydrodynamic Flow in a Circular Cylindrical Conduit
• A finite difference method for a class Of singular two point boundary value problems arising in physiology
• On the Convergence of a Spline Method for Singular Two Point Boundary Value Problems Arising in Physiology
• A new highly accurate domain decomposition optimal homotopy analysis method and its convergence for singular boundary value problems
• Doubly singular boundary value problems with derivative dependent source function: A fast‐converging iterative approach
• A note on the solvability of singular boundary value problems
• A fourth-order B-spline collocation method and its error analysis for Bratu-type and Lane–Emden problems
• An optimal sixth‐order quartic B‐spline collocation method for solving Bratu‐type and Lane‐Emden–type problems
• Spline solution of non-linear singular boundary value problems
• Linear Dependence Relations Connecting Equal Interval Nth Degree Splines and Their Derivatives

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