Stochastic θ-Methods for a Class of Jump-Diffusion Stochastic Pantograph Equations with Random Magnitude

الملخص EN

This paper is concerned with the convergence of stochastic θ-methods for stochastic pantograph equations with Poisson-driven jumps of random magnitude.

The strong order of the convergence of the numerical method is given, and the convergence of the numerical method is obtained.

Some earlier results are generalized and improved.