کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4627953 | 1631816 | 2014 | 16 صفحه PDF | دانلود رایگان |
In this paper, we propose a new three-level implicit nine point compact non-polynomial spline in compression finite difference method of order two in time and four in space directions, based on non-polynomial spline approximation in x-direction and central difference approximation in t-direction for the numerical solution of one-space dimensional second order quasi-linear hyperbolic partial differential equations with first order space derivative term. We describe the mathematical details of the method and also discuss how our method is able to handle wave equation in polar coordinates. The proposed method when applied to a linear hyperbolic equation is shown to be unconditionally stable. Numerical results are provided to justify the usefulness of the proposed method.
Journal: Applied Mathematics and Computation - Volume 238, 1 July 2014, Pages 250–265