New Algorithm for the System of Nonlinear Weakly Singular Volterra Integral Equations of the Second Kind and Integro-differential Equations
This paper presents a high accuracy quadrature method for solving the integro-differential equations and the system of weakly singular nonlinear Volterra integral equations of the second kind. These equations are important in many physical, biological and engineering models. Using Richardson extrapolation, an approximation with a higher accuracy order can be obtained. An a posteriori error estimation is provided. Some numerical results are presented to show the efficiency of our methods.
H. Han et al., "New Algorithm for the System of Nonlinear Weakly Singular Volterra Integral Equations of the Second Kind and Integro-differential Equations," Journal of Information and Computational Science, Binary Information Press, Jan 2010.
Mathematics and Statistics
Keywords and Phrases
system of nonlinear weakly singular Volterra Integral Equations; extrapolation; A posteriori Error Estimate; Integro-Differential Equations
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01 Jan 2010