Name
Title | ||
|---|---|---|
Solving nonlinear functional-differential and functional equations with constant delay via block boundary value methods |
Abstract | ||
|---|---|---|
This paper deals with the numerical solutions of nonlinear functional-differential and functional equations (FDFEs) with constant delay. The block boundary value methods (BBVMs) are extended to solve the FDFEs. Under the suitable conditions, it is shown that the extended BBVMs are uniquely solvable and globally stable. Moreover, the method can be convergent of order p whenever the Lipschitz condition holds and this method is preconsistent and p-order consistent. With several numerical examples, the theoretical results and computational validity of the extended BBVMs are further confirmed. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1016/j.matcom.2019.04.004 | Mathematics and Computers in Simulation |
Keywords | Field | DocType |
Functional-differential and functional equations,Block boundary value methods,Unique solvability,Global stability,Convergence | Nonlinear system,Mathematical analysis,Lipschitz continuity,Boundary value methods,Functional equation,Mathematics | Journal |
Volume | ISSN | Citations |
166 | 0378-4754 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xiaoqiang Yan | 1 | 0 | 0.68 |
| Chengjian Zhang | 2 | 185 | 29.75 |