We consider an elliptic perturbation problem in a circle by using the analytical solution that is given by a Fourier series with coefficients in terms of modified Bessel functions. By using saddle point methods we construct asymptotic approximations with respect to a small parameter. In particular w
✦ LIBER ✦
A singular perturbation problem for an envelope equation in plasma physics
✍ Scribed by Luc Berge´; Thierry Colin
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 966 KB
- Volume
- 84
- Category
- Article
- ISSN
- 0167-2789
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In this paper, we first consider the singularly perturbed, boundary value problem for the fourth-order elliptic differential equation, establish the priori estimation of the solution of the continuous problem. Then, we present an exponential fitted difference scheme and discuss the solution properti