A Method for Solving Nonlinear Volterra Integral Equations
نویسندگان
چکیده
It is known that to construct the stable multistep method with the higher order of accuracy for solving integral equation is actual. For this aim here we suggest some ways for the construction of hybrid methods for solving nonlinear Volterra integral equations of the second kind. Thus, foundational this extends stable hybrid method with higher order of accuracy. Note that the hybrid methods which has been constructed here guarantee the minimal calculation of the kernel of the integral in the Volterra integral equation. Also the concrete methods with the degree p = 4, p = 5 and p = 6 for two mesh point has been suggested. As a consequence of the given algorithm the hybrid methods have some preference. AMS Subject Classifications: 65L.
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