Existence Results and Numerical Approximations for a Class of Kirchhoff Equation
In this paper,the existence and numerical solutions of a class of Kirchhoff equations are studied.Firstly,a parameter is introduced to transform the original problem into an equivalent equation to discuss the existence of the solution.Secondly,a iterative method of the equation is given,and the convergence of the iterative method is analyzed.Then,based on the iterative method,the second-order difference scheme and error analysis for the Kirchhoff equation are also derived.Finally,results of numerical experiments confirm the efficiency of the proposed method are given.
Kirchhoff equationExistence of solutionsIterative methodDifference schemeError analysis
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