Yıl 2017, Cilt 5, Sayı 2, Sayfalar 131 - 145 2017-10-15
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## NUMERICAL SOLUTION OF SINGULAR INVERSE NODAL PROBLEM BY USING CHEBYSHEV POLYNOMIALS

#### ABDOLALI NEAMATY [1] , EMRAH YILMAZ [2] , SHAHRBANOO AKBARPOOR [3] , ABDOLHADI DABBAGHIAN [4]

##### 103 145

In this study, we consider Sturm-Liouville problem in two cases: the first case having no singularity and the second case having a singularity at zero. Then, we calculate the eigenvalues and the nodal points and present the uniqueness theorem for the solution of the inverse problem by using a dense subset of the nodal points in two given cases. Also, we use Chebyshev polynomials of the first kind for calculating the approximate solution of the inverse nodal problem in these cases. Finally, we present the numerical results by providing some examples.

Inverse nodal problem; singularity, numerical method, Chebyshev
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Konular Mühendislik Articles Yazar: ABDOLALI NEAMATYÜlke: Iran Yazar: EMRAH YILMAZÜlke: Turkey Yazar: SHAHRBANOO AKBARPOORÜlke: Iran Yazar: ABDOLHADI DABBAGHIANÜlke: Iran
 Bibtex @araştırma makalesi { konuralpjournalmath344411, journal = {Konuralp Journal of Mathematics}, issn = {}, eissn = {2147-625X}, address = {Mehmet Zeki SARIKAYA}, year = {2017}, volume = {5}, pages = {131 - 145}, doi = {}, title = {NUMERICAL SOLUTION OF SINGULAR INVERSE NODAL PROBLEM BY USING CHEBYSHEV POLYNOMIALS}, key = {cite}, author = {AKBARPOOR, SHAHRBANOO and YILMAZ, EMRAH and DABBAGHIAN, ABDOLHADI and NEAMATY, ABDOLALI} } APA NEAMATY, A , YILMAZ, E , AKBARPOOR, S , DABBAGHIAN, A . (2017). NUMERICAL SOLUTION OF SINGULAR INVERSE NODAL PROBLEM BY USING CHEBYSHEV POLYNOMIALS. Konuralp Journal of Mathematics, 5 (2), 131-145. Retrieved from http://dergipark.gov.tr/konuralpjournalmath/issue/28490/344411 MLA NEAMATY, A , YILMAZ, E , AKBARPOOR, S , DABBAGHIAN, A . "NUMERICAL SOLUTION OF SINGULAR INVERSE NODAL PROBLEM BY USING CHEBYSHEV POLYNOMIALS". Konuralp Journal of Mathematics 5 (2017): 131-145 Chicago NEAMATY, A , YILMAZ, E , AKBARPOOR, S , DABBAGHIAN, A . "NUMERICAL SOLUTION OF SINGULAR INVERSE NODAL PROBLEM BY USING CHEBYSHEV POLYNOMIALS". Konuralp Journal of Mathematics 5 (2017): 131-145 RIS TY - JOUR T1 - NUMERICAL SOLUTION OF SINGULAR INVERSE NODAL PROBLEM BY USING CHEBYSHEV POLYNOMIALS AU - ABDOLALI NEAMATY , EMRAH YILMAZ , SHAHRBANOO AKBARPOOR , ABDOLHADI DABBAGHIAN Y1 - 2017 PY - 2017 N1 - DO - T2 - Konuralp Journal of Mathematics JF - Journal JO - JOR SP - 131 EP - 145 VL - 5 IS - 2 SN - -2147-625X M3 - UR - Y2 - 2017 ER - EndNote %0 Konuralp Journal of Mathematics NUMERICAL SOLUTION OF SINGULAR INVERSE NODAL PROBLEM BY USING CHEBYSHEV POLYNOMIALS %A ABDOLALI NEAMATY , EMRAH YILMAZ , SHAHRBANOO AKBARPOOR , ABDOLHADI DABBAGHIAN %T NUMERICAL SOLUTION OF SINGULAR INVERSE NODAL PROBLEM BY USING CHEBYSHEV POLYNOMIALS %D 2017 %J Konuralp Journal of Mathematics %P -2147-625X %V 5 %N 2 %R %U ISNAD NEAMATY, ABDOLALI , YILMAZ, EMRAH , AKBARPOOR, SHAHRBANOO , DABBAGHIAN, ABDOLHADI . "NUMERICAL SOLUTION OF SINGULAR INVERSE NODAL PROBLEM BY USING CHEBYSHEV POLYNOMIALS". Konuralp Journal of Mathematics 5 / 2 (Ekim 2017): 131-145.