- Several numerical methods have been emerged to analyze the engineering problems. Boundary Element Method (BEM) is an important method for solving the partial differential equation in engineering problems. The Poison equation is an applicable equation in various engineering problems. General solution of this equation is obtained based on BEM by definition of the two integrals on the domain boundaries, and one integral in the internal domain which is a drawback for this method. To remove this disadvantage, Dual Reciprocity Method (DRM) is suggested. For example, in analysis of the welding heat transfer problems in transient zone where not homogeneous part is involved time dependent terms, is solved by this method. The calculation of the welding zone temperature history is a significant step for the thermal loading and residual stress analysis of the process.
In this work, welding temperature history is obtained using the DRM. The Method and its theory are explained. Then, the code validation is carried out by common heat transfer problems. The welding temperature history is studied for a specific case by the created code. Because of the method simplicity and low time and error in computation process, the application of DRM is recommended.