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Showing 1 to 6 of 6 for “"Nonlinear integral equations"”.
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Superconvergence of Iterated Solutions for Linear and Nonlinear Integral Equations: Wavelet Applications
… iterated Petrov-Galerkin method for a class of nonlinear Hammerstein equation. We also investigate the superconvergence phenomenon of the iterated Petrov-Galerkin and degenerate kernel numerical solutions of linear and nonlinear integral equations with a class of wavelet basis. The Fredholm …
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Post-Processing Techniques and Wavelet Applications for Hammerstein Integral Equations
… on the varieties of numerical solutions of nonlinear Hammerstein integral equations. In the first part of this dissertation, several acceleration techniques for post-processed solutions of the Hammerstein equation are discussed. The post-processing techniques are implemented based on …
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An Adaptive Method for Calculating Blow-Up Solutions
… such as monotonicity or self-similarity. For equations where such a priori knowledge is unavailable, <em>ad hoc</em> methods were constructed. The object of this research is to develop a simple and consistent approach to find numerically the blow-up solution without having <em>a priori</em> …
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Optimal Stopping Problems with A Random Time Horizon
… free-boundary problem. After this, we derive the nonlinear integral equations that characterise the free-boundary and the value function. The solutions to these equations are examined in details, and their financial justification is discussed briefly in the final chapter.
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Oscillations and waves in anisotropic plasmas
The linearized Vlasov-Maxwell equations describing anisotropic plasma oscillations and waves are studied using an operator theoretic approach. The model considered is one dimensional so that after velocity averages perpendicular to this direction. have been taken, the equations can be naturally …