A three-stage fifth-order Runge-Kutta method for directly solving special third-order differential equation with application to thin film flow problem
From MaRDI portal
Publication:474131
zbMath1299.76145MaRDI QIDQ474131
B. Nikouravan, Zailan Siri, Mohammed S. Mechee, Fudziah Bt. Ismail, Norazak Senu
Publication date: 24 November 2014
Published in: Mathematical Problems in Engineering (Search for Journal in Brave)
Thin fluid films (76A20) Finite element methods applied to problems in fluid mechanics (76M10) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)
Related Items (11)
Embedded explicit Runge-Kutta type methods for directly solving special third order differential equations \(y = f(x, y)\) ⋮ Direct numerical methods for solving a class of third-order partial differential equations ⋮ Parareal algorithms implemented with IMEX Runge-Kutta methods ⋮ Unnamed Item ⋮ 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 ⋮ The discontinuous Galerkin method for general nonlinear third-order ordinary differential equations ⋮ Exponentially fitted and trigonometrically fitted explicit modified Runge-Kutta type methods for solving \(y(x)=f(x,y,y')\) ⋮ A new integrator for special third order differential equations with application to thin film flow problem ⋮ Explicit integrator of Runge-Kutta type for direct solution of \(u^{(4)} = f(x, u, u', u)\) ⋮ An accurate block hybrid collocation method for third order ordinary differential equations
This page was built for publication: A three-stage fifth-order Runge-Kutta method for directly solving special third-order differential equation with application to thin film flow problem