A New Modification of the Method of Lines for First Order Hyperbolic PDEs

• 作者: Fatmah M. Alabdali Huda Omar Bakodah
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Method of LINES FIRST-ORDER HYPERBOLIC EQUATION NUMERICAL Solution
• 年，卷（期）: 2014,（10）
• 页码范围: 1457-1462
• 页数: 6页
• 分类号: O1

摘要

A new modification of the Method of Lines is proposed for the solution of first order partial differential equations. The accuracy of the method is shown with the matrix analysis. The method is applied to a number of test problems, on uniform grids, to compare the accuracy and computational efficiency with the standard method.