一种扩展的三次B样条有限元方法用于求解广义Burgers-Fisher方程
An Extended Cubic B-spline Finite Element Method for Solving Generalized Burgers-sher Equation
AI总结：
本文提出基于扩展B样条函数的置零法求解广义Burgers-Fisher方程，通过组合扩展B样条构造近似解，并通过数值解与解析解的误差验证方法的准确性和有效性。
摘要：
本文研究了基于扩展B样条函数的置零法用于求解广义Burgers-Fisher方程的数值解。通过组合扩展B样条构造方程的近似解，利用所提方法解决了一些初始边界值问题。通过测量数值解与解析解之间的误差，验证了该方法的准确性和有效性。
英文摘要：
In this study collocation method based on the extended B-spline functions for the numerical solutions of the Generalized Burhers Fisher equation is set up. The approximate solution of the equation is constructed with the combination of the extended B-splines. Some initial boundary value problems are solved by the proposed method. The accuracy and validity and of the method is demonstrated by measuring the error between the numerical solutions and the analytical solutions, if exist.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
