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• W2098889120 abstract "In this paper, a three-stage fifth-order Runge-Kutta method for the integration of a special third-order ordinary differential equation (ODE) is constructed. The zero stability of the method is proven. The numerical study of a third-order ODE arising in thin film flow of viscous fluid in physics is discussed. The mathematical model of thin film flow has been solved using a new method and numerical comparisons are made when the same problem is reduced to a first-order system of equations which are solved using the existing Runge-Kutta methods. Numerical results have clearly shown the advantage and the efficiency of the new method." @default.
• W2098889120 created "2016-06-24" @default.
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• W2098889120 date "2013-01-01" @default.
• W2098889120 modified "2023-09-23" @default.
• W2098889120 title "A Three-Stage Fifth-Order Runge-Kutta Method for Directly Solving Special Third-Order Differential Equation with Application to Thin Film Flow Problem" @default.
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• W2098889120 doi "https://doi.org/10.1155/2013/795397" @default.
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