This study is intended to provide a modified variational algorithm for the numerical solution of the third-order ordinary differential equation y″′ = y~(-2) which arises in the modeling of thin viscous films with surface tension. The resulting solution is used to solve a problem relevant to Tanner's Law for the speed of a moving three-phase contact line. Numerical results, computational comparisons, suitable error measures and illustrations are provided to testify and demonstrate the convergence and efficiency of the method.
展开▼
