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Register a new userFourier Spectral Method
طريقة فورييه الطيفية
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محمد عامر( باحث )
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في هذا البحث نقدم طريقة فورييه الطيفية لحل المعادلات التفاضلية ( سنطبق الطريقة على معادلة تفاضلية عادية ) إذ سنقوم في القسم الأول بعرض تحويل فورييه , في القسم الثاني سنعرض خصائص التقريب و نطبق هذه الطريقة على مثال عددي للتحقق من النتائج في القسم الثالث , ثم نكتب برنامج ماتلاب Matlab لإعطاء النتائج العددية .
We will first introduce the basic ingredient of Fourier methods in section 1, then we will do some analysis on the Fourier approximation, in the last section, we will apply the Fourier method to solve some ODEs . we will write Matlab code for numerical result .
References used
TREFATHEN,L 2000 -Spectral Method in Matlab ,www.Mathwork.ir
GOTTLIEB,D,ORSZAG,S,1993,Numerical Analysis of Spectral Methods Theory and Applications , SIAM
SHEN,J-TANG,T,2006 , Spectral and High-Order Methods with Applications , Science Press,Peijjng
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Various types of criteria, under varying conditions, for the Nörlund
summability of the derived fourier series have been previously
obtainedby Hille and Tamarkin (1932), Astrachan (1936) and
Prasad and Siddiqi (1950). In this paper quite a differe
nt and
general type of criterion for the summability of the derived
fourier series has been obtained.
Where we shall consider a function f(x) of bounded variation
integrable in the sense of Lebesgue, and periodic.
Let f be a periodic function and integrable, in
thesense of Lebesgue.In this paper, quite new theorems on
almost Matrix summability of Fourier series and its conjugate
have been established. our study generalizes all previously
known results of this line of work
Porous glasses were produced using sheet glass cullet with added
magnesium carbonate MgCO3 as foams agents .The structure of glasses
tinged with silver bromide by porous glasses, was studied by UV–VIS
spectroscopy,transmission of light and X-ray diffraction XRD
techniques. glasses plates were obtained by impregnation of porous
glasses at first with AgNO3 aqueous solution , next in the KBr aqueous
solution. Then the samples was sintered at temperatures 950°C up to
closing of the pores. The results of spectroscopy study have shown that
the glasses tinged plates, according to XRD data, the glasses tinged
contain the AgBr phase.
In this paper we study the convergence of Fourier-
Haar for functions of continuous partial derivative.
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