scientific article

zbMath1196.65111MaRDI QIDQ3584733

Zanariah Abdul Majid, Nurul Asyikin Azmi, Mohamed Bin Suleiman

Publication date: 30 August 2010

Full work available at URL: http://pphmj.com/abstract/4978.htm

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

numerical resultsefficiencyinitial value problemsvariable step sizemultistep methoddirect block methodAdams-Moulton methodthird order ordinary differential equations

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Complexity and performance of numerical algorithms (65Y20) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

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A sixth‐order improved <scp>Runge–Kutta</scp> direct method for special third‐order ordinary differential equations ⋮ Hybrid methods for direct integration of special third order ordinary differential equations ⋮ Fourth-order improved Runge-Kutta method for directly solving special third-order ordinary differential equations ⋮ Direct integrators for the general third-order ordinary differential equations with an application to the Korteweg-de Vries equation ⋮ A new integrator for special third order differential equations with application to thin film flow problem ⋮ Linear 3 and 5-step methods using Taylor series expansion for solving special 3rd order ODEs

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