等离子体双流不稳定性中一类非线性方程的数值方法

Numerical method for solving a kind of system of nonlinear equations in two stream instability of plasma

研制了一个称为修正ＡＢＳ方法的计算机Ｃｏｄｅ．利用该Ｃｏｄｅ数值求解了等离子体双流不稳定性激发条件中含有积分项的一类非线性方程组，获得了满意的结果．修正ＡＢＳ方法的收敛速度为平方阶。

A computer code has been developed, called the modified ABS method for solving a kind of system of nonlinear equations in excitation condition of the two stream instability. Numerical results are highly satisfactory. The modified ABS method is locally convergent to solutions of nonlinear systems with rate at least 2. Both theoretical and practical results show that this method is very effective.