Convergence analysis of the homotopy perturbation method for solving nonlinear ill-posed operator equations. (English) Zbl 1219.65167

Summary: The homotopy perturbation method is used to construct a new iteration algorithm for solving nonlinear ill-posed operator equations. Numerical tests are given, showing that the algorithm is more efficient than the well-known Landweber method.


65R30 Numerical methods for ill-posed problems for integral equations
47J06 Nonlinear ill-posed problems
47J25 Iterative procedures involving nonlinear operators
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