Numerical solution of a class of mixed two-dimensional nonlinear Volterra-Fredholm integral equations using multiquadric radial basis functions

• Autores: H. Almasieh, J. Nazari Meleh
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 260, Nº 1, 2014, págs. 173-179
• Idioma: inglés
• DOI: 10.1016/j.cam.2013.09.067
• Texto completo no disponible (Saber más ...)
• Resumen

  • An efficient numerical method is proposed for solving the mixed nonlinear Volterra� Fredholm two-dimensional integral equations (IEs), using two-dimensional radial basis functions (RBFs). This method is based on interpolation by radial basis functions including multiquadrics (MQs), using Legendre�Gauss�Lobatto nodes and weights. Also a theorem is proved for convergence analysis. Some numerical examples are presented and results are compared with the analytical solution to demonstrate the validity and applicability of the proposed method.