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Going in the limit to diffusion in a special variant of the Gambler's ruin problem

✍ Scribed by A. A. Yushkevich

Publisher
Springer US
Year
1972
Tongue
English
Weight
336 KB
Volume
4
Category
Article
ISSN
1573-8337

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The Solution of the modified Helmholtz e
The Solution of the modified Helmholtz equation in a wedge and an application to diffusion-limited coalescence
✍ Daniel ben-Avraham; Athanassios S. Fokas πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 89 KB

The general representation of the solution of the modified Helmholtz equation, q x, y q q x, y y 4b q x, y s 0, has been recently constructed. Here we apply this representation in the wedge 0 F x F y F `and use this solution to find the explicit steady-state of diffusion-limited coalescence, A q A