A Galerkin method for two-dimensional hyperbolic integro-differential equation with purely integral conditions

作者：Merad A; Martin Vaquero J^*

来源：Applied Mathematics and Computation, 2016, 291: 386-394.

DOI：10.1016/j.amc.2016.07.003

• Galerkin scheme
• Purely integral conditions
• Two-dimensional hyperbolic
• integro-differential equation

The present paper is devoted to the solution for two-dimensional hyperbolic integro-differential equations subject to purely integral conditions. First, it is demonstrated the existence and uniqueness of the solution under certain conditions. For the numerical approach, a Galerkin method based on least squares is proposed. The numerical examples illustrate the technique and show the efficiency of the proposed method.

• 出版日期2016-12-1