Taylor polynomial solution of difference equation with constant coefficients via time scales calculus
Journal: NEW TRENDS IN MATHEMATICAL SCIENCES (Vol.3, No. 3)Publication Date: 2015-09-01
Authors : Veysel Hatipoglu;
Page : 129-135
Keywords : Time Scales Calculus Difference Equations Matrix Method;
- Taylor polynomial solution of difference equation with constant coefficients via time scales calculus
- A Taylor Series Method for the Solution of the Boundary Value Problems for Higher Order Ordinary Differential Equation
- New results involving Airy polynomials, fractional calculus and solution to generalized heat equation
- NONOSCILLATORY PROPERTIES FOR SOLUTION OF NONLINEAR NEUTRAL DIFFERENCE EQUATIONS OF SECOND ORDER WITH POSITIVE AND NEGATIVE COEFFICIENTS
- ANALYTICAL SOLUTION OF A NON - HOMOGENEOUS ONE - DIMENSIONAL ADVECTION DIFFUSION EQUATION WITH TEMPORALLY VARYING COEFFICIENTS
Abstract
In this study, we present a practical matrix method to find an approximate solution of higher order linear difference equation with constant coefficients under the initial-boundary conditions in terms of Taylor polynomials. To obtain this goal, we first present time scale extension of previous polynomial approach, then restrict the formula to the Integers with h step. This method converts the difference equation to a matrix equation, which may be considered as a system of linear algebraic equations.
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