APPLYING LEGENDRE WAVELET METHOD WITH REGULARIZATION FOR A CLASS OF SINGULAR BOUNDARY VALUE PROBLEMS

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AZIZI ARAM; SAEIDIAN JAMSHID; ABDI SARKOUT

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Journal: Iranian Journal of Mathematical Sciences and Informatics Year:2016 | Volume:11 | Issue:2 Page(s): 57-69

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Title

APPLYING LEGENDRE WAVELET METHOD WITH REGULARIZATION FOR A CLASS OF SINGULAR BOUNDARY VALUE PROBLEMS

Author(s)

AZIZI ARAM | SAEIDIAN JAMSHID | ABDI SARKOUT | Issue Writer Certificate

Keywords

ORDINARY DIFFERENTIAL EQUATION

BOUNDARY VALUE PROBLEM

SINGULAR EQUATIONS

LEGENDRE WAVELET BASES

Abstract

In this paper LEGENDRE WAVELET BASES have been used for finding approximate solutions to singular BOUNDARY VALUE PROBLEMs arising in physiology. When the number of basis functions are increased the algebraic system of equations would be ill-conditioned (because of the singularity), to overcome this for large M, we use some kind of Tikhonov regularization. Examples from applied sciences are presented to demonstrate the efficiency and accuracy of the method.

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APA: Copy

AZIZI, ARAM, SAEIDIAN, JAMSHID, & ABDI, SARKOUT. (2016). APPLYING LEGENDRE WAVELET METHOD WITH REGULARIZATION FOR A CLASS OF SINGULAR BOUNDARY VALUE PROBLEMS. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 11(2), 57-69. SID. https://sid.ir/paper/310428/en

Vancouver: Copy

AZIZI ARAM, SAEIDIAN JAMSHID, ABDI SARKOUT. APPLYING LEGENDRE WAVELET METHOD WITH REGULARIZATION FOR A CLASS OF SINGULAR BOUNDARY VALUE PROBLEMS. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)[Internet]. 2016;11(2):57-69. Available from: https://sid.ir/paper/310428/en

IEEE: Copy

ARAM AZIZI, JAMSHID SAEIDIAN, and SARKOUT ABDI, “APPLYING LEGENDRE WAVELET METHOD WITH REGULARIZATION FOR A CLASS OF SINGULAR BOUNDARY VALUE PROBLEMS,” IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), vol. 11, no. 2, pp. 57–69, 2016, [Online]. Available: https://sid.ir/paper/310428/en

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