A Simple Approach to Volterra-Fredholm Integral Equations

Document Type : Technical Brief


1 School of Science, Xi'an University of Architecture and Technology, Xi’an, China

2 School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, China

3 National Engineering Laboratory for Modern Silk, College of Textile and Engineering, Soochow University, Suzhou, China


This paper suggests a simple analytical method for Volterra-Fredholm integral equations, the solution process is similar to that by variational-based analytical method, e.g., Ritz method, however, the method requires no establishment of the variational principle for the discussed problem, making the method much attractive for practical applications. The examples show the method is straightforward and effective, and the method can also be extended to other nonlinear problems.


Main Subjects

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