Numerical Approach of Linear Volterra Integro-Differential Equations Using Generalized Spline Functions

Nabaa N.  Hasan

doi:10.21123/bsj.2012.9.4.734-740

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Publication Date

Sun Dec 02 2012

Journal Name

Baghdad Science Journal

Volume

9

Issue Number

4

DOI

10.21123/bsj.2012.9.4.734-740

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Numerical Approach of Linear Volterra Integro-Differential Equations Using Generalized Spline Functions

" Integro-differential equations

generalized spline functions"

Nabaa N. Hasan

...Show More Authors

This paper is dealing with non-polynomial spline functions "generalized spline" to find the approximate solution of linear Volterra integro-differential equations of the second kind and extension of this work to solve system of linear Volterra integro-differential equations. The performance of generalized spline functions are illustrated in test examples

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Designed algorithms

representation for the group

degree of the representation

character of representation

tenser product.

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The main objective of this paper is to designed algorithms and implemented in the construction of the main program designated for the determination the tenser product of representation for the special linear group.

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Studies were conducted to screen eight sunflower (Helianthus annuus L.) genotypes for their allelopathic potential against weeds and wheat crop, which customarily follows sunflower in Iraq. All sunflower genotypes significantly inhibited the total number and biomass of companion weeds and the magnitude of inhibition was genotype dependent. Among the eight genotypes tested, Sin-Altheeb and Coupon were the most weed-suppressing cultivars, and Euroflor and Shumoos were the least. A subsequent field experiment indicated that sunflower residues incorporated into the field soil significantly inhibited the total number and biomass of weeds growing in the wheat field. Sunflower genotypes Sin-Altheeb and Coupon appeared to inhibit total weed number

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