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A Taylor polynomial approach for solving the most general linear Fredholm integro‐differential‐difference equations
Author(s) -
AkyüzDaşcıoğlu Ayşegül,
Sezer Mehmet
Publication year - 2012
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1615
Subject(s) - mathematics , boundary value problem , taylor series , polynomial , fredholm integral equation , mathematical analysis , algebraic equation , fredholm theory , differential equation , variable (mathematics) , integral equation , nonlinear system , physics , quantum mechanics
In this study, a matrix method is developed to solve approximately the most general higher order linear Fredholm integro‐differential‐difference equations with variable coefficients under the mixed conditions in terms of Taylor polynomials. This technique reduces the problem into the linear algebraic system. The method is valid for any combination of differential, difference and integral equations. An initial value problem and a boundary value problem are also presented to illustrate the accuracy and efficiency of the method. Copyright © 2012 John Wiley & Sons, Ltd.