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Integral equations appear in many engineering and physics problems. Numerical methods of solution for integral equations have been largely developed within the last 20 years (References 1–4). In this chapter a development involving an imbedding method for obtaining the numerical solution of nonlinear integral equations is described (References 5, 6 ...
Harriet Kagiwada +3 more
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Integrable Nonlinear Equations
1992Publisher Summary In this chapter, appropriate linear eigenvalue problems are used to solve several physically significant initial (and initial-boundary) value problems. The main mathematical tools used are the Riemann–Hilbert (RH) problem for equations in 1 + 1 and the nonlocal Riemann–Hilbert problem for some equations in 2 + 1.
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