【摘要】 给出一种求一类线性偏积分微分方程ut(x,t)-∫0tβ(t-s)uxx(x,s)ds=f(x,t)数值解的方法,空间x方向采用孙志忠教授在文献[3]中的六点隐格式离散,时间t方向采用Lubich的拉普拉斯变换数值逆,得出数值解的精度较高,计算也比较简便。更多还原

【Abstract】 A method is suggested to solve numerical solution of a kind of linear partial integral differential equation u_t（x,t）-∫^t₀β（ts）u_xx（x,s）ds=f（x,t）.The paper presents six-point implicit scheme discrete in the direction of space x and numerical inversion for the laplace transform of Lubich in the direction of time t.More accurate and easier numerical solution is obtained.更多还原