Quintic nonpolynomial spline method for the solution of a second-order boundary-value problem with engineering applications

DOI10.1016/j.camwa.2011.06.012zbMath1231.65120OpenAlexW2055657187MaRDI QIDQ660796

Manoj Kumar, Pankaj Kumar Srivastava, Ram N. Mohapatra

Publication date: 5 February 2012

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.06.012

zbMATH Keywords

heat transferspline functionsDirichlet and Neumann boundary conditionstwo point boundary value problemquintic nonpolynomial spline

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Spline approximation (41A15) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (9)

Some studies on nonpolynomial interpolation and error analysis ⋮ Solving higher order nonlinear ordinary differential equations with least squares support vector machines ⋮ Numerical algorithm based on quintic nonpolynomial spline for solving third-order boundary value problems associated with draining and coating flows ⋮ Non-polynomial spline method for the time-fractional nonlinear Schrödinger equation ⋮ An efficient numerical algorithm for solving the two-dimensional fractional cable equation ⋮ Three-step block method for solving nonlinear boundary value problems ⋮ Nonpolynomial twin parameter spline approach to treat boundary-value problems arising in engineering problems ⋮ Quintic hyperbolic nonpolynomial spline and finite difference method for nonlinear second order differential equations and its application ⋮ A new algorithm for solving generalized systems of second-order boundary value problems using nonpolynomial spline technique

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