The numerical solution of parabolic partial differential equations by the method of integral operators†

†This research was supported in part by AFOSR Grant 76‐2879 and NSF Grant MCS 77-02056.

Abstract

The numerical solution of parabolic partial differential equations is accomplished by the use of , integral operators and a complete family of solutions. This method is one where the kernel of the integral operator and the special solutions of the differential equation are expanded in long (20-term) Taylor series. Once the series for the functions have been obtained, numerical integration can be performed by a term-by-term integration (a simple shifting of terms). Thus, the integraloperator solutions of parabolic differential equations are evaluated numerically with ease. The solutions of example problems are given.

†This research was supported in part by AFOSR Grant 76‐2879 and NSF Grant MCS 77-02056.

†This research was supported in part by AFOSR Grant 76‐2879 and NSF Grant MCS 77-02056.

Notes

†This research was supported in part by AFOSR Grant 76‐2879 and NSF Grant MCS 77-02056.