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Abstract For a nonlinear Hammerstein equation with a smooth kernel, a method proposed recently, based on projection onto a space of piecewise polynomials of degree is shown to have convergence… Click to show full abstract
Abstract For a nonlinear Hammerstein equation with a smooth kernel, a method proposed recently, based on projection onto a space of piecewise polynomials of degree is shown to have convergence of order This paper shows that this method have asymptotic series expansion and the order of convergence can be further improved to by one step of Richardson extrapolation, assuming the calculation to be repeated with each subinterval halved. Some numerical results are given to illustrate this improvement.
Keywords:
superconvergent projection;
richardson extrapolation;
extrapolation superconvergent;
projection;
projection type
Journal Title: Numerical Functional Analysis and Optimization
Year Published: 2019
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Journal Title: Numerical Functional Analysis and Optimization
Year Published: 2019
Link to full text (if available)
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recommendations!