Abstract
Burgers’ equation is a kind of nonlinear partial differential equation which is widely used in various fields. A new space-time polynomial particular solutions collocation method is presented to solve three-dimensional Burgers’ equation. The basic process is divided into two steps. The first step is to find the polynomial particular solutions of the linear differential operator terms (including the time differential term) in the govern equation. The second step is to solve the nonlinear term of three-dimensional Burgers’ equation iteratively. Our proposed method is simple and easy to program. The approximate solution is very accurate. Especially, the stability of the method is excellent, which improves students’ programming ability and deeps their understanding of high-dimensional Burgers’ equation and its practical application.
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