Direct method for Solving Nonlinear Variational Problems by Using Hermite Wavelets

Zina K. Alabacy; Asmaa A. Abdulrehman; Lemia A. Hadi

doi:10.21123/bsj.2015.12.2.425-430

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Publication Date

Sun Jun 07 2015

Journal Name

Baghdad Science Journal

Volume

12

Issue Number

2

DOI

10.21123/bsj.2015.12.2.425-430

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Direct method for Solving Nonlinear Variational Problems by Using Hermite Wavelets

: Hermite wavelets

Operational Matrix of integration

Matrix of product

Nonlinear Variational problems

Zina K. Alabacy

Asmaa A. Abdulrehman

Lemia A. Hadi

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In this work, we first construct Hermite wavelets on the interval [0,1) with it’s product, Operational matrix of integration 2^k M×2^k M is derived, and used it for solving nonlinear Variational problems with reduced it to a system of algebric equations and aid of direct method. Finally, some examples are given to illustrate the efficiency and performance of presented method.

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INFLUENCE OF SOME FACTOR ON SOMATIC EMBRYOS INDUCTION AND GERMINATION OF DATE PALM CV BARHI BY USING CELL SUSPENSION CULTURE TECHNIQUE

This study was done to examine different concentrations of mercuric chloride (Hgcl2) for Explants sterilization and different concentration of NAA) mg/L with 2iP for their effect on initiation primary callus and subsequent embryogenesis in Phoenix dactyliferae cultivar Barhi. Leaf primordial and shoot tips were excised from 2-3 years old offshoot. The result showed that contamination percentage decreased with an increase in concentration of Hgcl2 for two explants where in the control (0.0)% gave highest value 75% and 62.5% of contamination for leaf primordial and shoot tip respectively while the addition (0.1)% gave a significant decrease 37.5 and 0% for explants respectively. The Explants were inoculated onto Murashiege and Skoog

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25

50 or 100 mg/L of NAA

the addition (50) mg/L of NAA gave highest value 68.8% in percentage of callus initiation with significant difference from addition 0% gave lowest value (18.8)%

as well Explants of shoot tip gave significant difference was 53.1% while leaf primordial gave 28.1%

Primary callus was transferred to fresh MS medium containing (0

5

10 and 20) mg/L of NAA with 3mg/L 2iP

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maximum values were reached in the eighth week of PCV and fresh weight but the dry weight reached to highest value in seventh week

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500

10000

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