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A quasilinearization method for a class of integro-differential equations with mixed nonlinearities
Journal article   Peer reviewed

A quasilinearization method for a class of integro-differential equations with mixed nonlinearities

Bashir Ahmad
Nonlinear analysis: real world applications, Vol.7(5), pp.997-1004
01/12/2006
DOI: https://doi.org/10.1016/j.nonrwa.2005.09.003

Abstract

Generalized quasilinearization Integro-differential equations Quadratic convergence
We develop an extended form of the quasilinearization method for an initial value problem involving a nonlinear integro-differential equation with mixed nonlinearities, occurring in distributed-infective and distributed-contact models. In fact, a monotone sequence of iterates converging uniformly and quadratically to a solution of the problem is obtained. Some interesting observations are presented.

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