Numerical algorithm based on quintic nonpolynomial spline for solving third-order boundary value problems associated with draining and coating flows

DOI10.1007/S11401-012-0749-5zbMath1260.65068OpenAlexW2039831583MaRDI QIDQ1938724

Manoj Kumar, Pankaj Kumar Srivastava

Publication date: 22 February 2013

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-012-0749-5

zbMATH Keywords

algorithmnumerical examplesspline functionsthird-order boundary value problemdraining and coating flowsnonpolynomial quartic splinenonpolynomial quintic spline

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stokes and related (Oseen, etc.) flows (76D07) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (8)

A new fixed point iteration method for nonlinear third-order BVPs ⋮ An innovative harmonic numbers operational matrix method for solving initial value problems ⋮ Numerical Solutions of Third-Order Boundary Value Problems associated with Draining and Coating Flows ⋮ Nonpolynomial twin parameter spline approach to treat boundary-value problems arising in engineering problems ⋮ A unified approach for solving linear and nonlinear odd-order two-point boundary value problems ⋮ Hierarchical cascade model leading to 7-th order initial value problem ⋮ Simple numerical methods of second- and third-order convergence for solving a fully third-order nonlinear boundary value problem ⋮ A new algorithm for solving generalized systems of second-order boundary value problems using nonpolynomial spline technique

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