Name
Abstract | ||
|---|---|---|
In this paper a class of weakly singular Volterra integral equations with an infinite set of solutions is investigated. Among the set of solutions only one particular solution is smooth and all others are singular at the origin. The numerical solution of this class of equations has been a difficult topic to analyze and has received much previous investigation. The aim of this paper is to improve the convergence rates by a graded mesh method. The convergence rates are proved and a variety of numerical examples are provided to support the theoretical findings. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.cam.2009.05.005 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
graded mesh method,theoretical finding,difficult topic,particular solution,previous investigation,numerical example,convergence rate,numerical solution,integral equation,euler method,convergence,volterra integral equation | Mathematical optimization,Singular integral,Mathematical analysis,Singular solution,Integral equation,Infinite set,Rate of convergence,Method of undetermined coefficients,Numerical analysis,Mathematics,Volterra integral equation | Journal |
Volume | Issue | ISSN |
231 | 2 | 0377-0427 |
Citations | PageRank | References |
7 | 0.91 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jingtang Ma | 1 | 120 | 12.98 |
| Yingjun Jiang | 2 | 95 | 7.62 |