## Continuous time collocation methods for Volterra-Fredholm integral equations.(English)Zbl 0662.65116

Second kind integral equations of mixed Volterra-Fredholm type $u(x,t)=g(x,t)+\lambda \int^{t}_{0}\int^{b}_{a}K(x,t,\xi,\tau)u(\xi,\tau)d\xi d\tau$ and their nonlinear counterparts arise in various physical and biological problems. We study existence and uniqueness of a solution, continuous time collocation, time discretization and their global and discrete convergence properties.
Reviewer: J.-P.Kauthen

### MSC:

 65R20 Numerical methods for integral equations 45B05 Fredholm integral equations 45D05 Volterra integral equations
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### References:

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