NUMERICAL SOLUTIONS OF THE MRLW EQUATION USING MOVING LEAST SQUARE COLLOCATION METHOD

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Atıf İçin Kopyala

KAPLAN A. G., DERELİ Y.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.66, sa.2, ss.349-361, 2017 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 66 Sayı: 2
• Basım Tarihi: 2017
• Doi Numarası: 10.1501/commua1_0000000825
• Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
• Sayfa Sayıları: ss.349-361
• Anahtar Kelimeler: Moving least square collocation method, MRLW equation, SOLITARY WAVES
• Anadolu Üniversitesi Adresli: Evet

Özet

In this paper, the Modified Regularized Long Wave (MRLW) equation is solved by using moving least square collocation (MLSC) method. To show the accuracy of the used method several numerical test examples are given. The motion of single solitary waves, the interaction of two solitary waves and the Maxwellian initial condition problems are chosen as test problems. For the single solitary wave motion whose analytical solution is known L-2, L-infinity error norms are calculated. Also mass, energy and momentum invariants are calculated for every test problem. Obtained numerical results are compared with some earlier works. According to the obtained results, the method is very efficient and reliable.