样条插值
数学
单调三次插值
双曲型偏微分方程
常微分方程
偏微分方程
数学分析
三次Hermite样条
插值(计算机图形学)
特征线法
B样条曲线
指数积分器
花键(机械)
应用数学
偏导数
微分方程
薄板样条
双三次插值
微分代数方程
计算机科学
物理
动画
统计
计算机图形学(图像)
双线性插值
热力学
作者
Sudhir Kumar,R. C. Mittal,Ram Jiwari
标识
DOI:10.1080/00207160.2023.2205963
摘要
This work presents a numerical algorithm based on the cubic B-spline quasi-interpolation method for the simulation of one and two-dimensional hyperbolic partial differential equations. In this method, cubic B-spline quasi-interpolation method is used for the approximation of spatial derivatives which produces a system of second-order ordinary differential equations. Further, the obtained system is decoupled into a system of first-order ordinary differential equations, and then forward difference approximation for time derivative is used to get final solutions. Some well-known problems from the literature are considered to check the accuracy and efficiency of the proposed method.
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