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Numerical methods for singular nonlinear Volterra type equations with two point boundary conditions

✍ Scribed by L.E. Garey; R.E. Shaw


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
613 KB
Volume
26
Category
Article
ISSN
0898-1221

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✦ Synopsis


The purpose of thii article is to generalize the work in a paper by Shaw and Garey [l]

to include equations with weakly singular kernels. An example to illustrate the methods is given in Section 4.


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## Abstract For a nonlinear diffusion equation with a singular Neumann boundary condition, we devise a difference scheme which represents faithfully the properties of the original continuous boundary value problem. We use non‐uniform mesh in order to adequately represent the spatial behavior of the