Open AccessNUMERICAL TREATMENT OF FIRST ORDER MATRIX DIFFERENTIAL EQUATIONS USING DIFFERENT CUBIC B-SPLINE FUNCTIONS
Author(s) -
Kamal Raslan,
Adel R. Hadhoud,
M.A. Shaalan
Publication year - 2018
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.21608/joems.2018.2625.1014
Subject(s) - mathematics , monotone cubic interpolation , order (exchange) , b spline , matrix (chemical analysis) , differential equation , mathematical analysis , materials science , polynomial , composite material , finance , trilinear interpolation , linear interpolation , economics
The aim of the present paper is to present numerical treatments for solving Sylvester and Riccati matrix di erentialequations of rst order with polynomial, exponential and trigonometric cubic B-spline methods. Exactness and accuracy ofthe proposed methods are illustrated by calculating the maximum errors. The results of numerical experiments shown bythese methods are convenient to be implemented and e ective numerical technique for solving matrix di erential equation
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