Further generalization of generalized quasilinearization method. (1994)

• Record Type: Journal Article
• Authors: Lakshmikantham, V.; Shahzad, N.
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 7:Number 4(1994)
• Page Start: 545
• Page End: 552
• Publication Date: 1994
• Subjects: quasilinearization method -- monotone sequence -- quadratic convergence; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953394000420
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : The question whether it is possible to develop monotone sequences that converge to the solution quadratically when the function involved in the initial value problem admits a decomposition into a sum of two functions, is answered positively. This extends the method of generalized quasilinearization to a large class.