A Strang Splitting Approach Combined with Chebyshev Wavelets to Solve the Regularized Long-Wave Equation Numerically

Oruc O., ESEN A., BULUT F.

MEDITERRANEAN JOURNAL OF MATHEMATICS, cilt.17, sa.5, 2020 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 17 Sayı: 5
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s00009-020-01572-w
  • Dergi Adı: MEDITERRANEAN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
  • Anahtar Kelimeler: Chebyshev wavelet method, Strang splitting, regularized long-wave equation, nonlinear phenomena, numerical solution, SPLINE COLLOCATION ALGORITHMS, BONA-MAHONY-BURGERS, RLW EQUATION, COMPUTATIONAL METHOD, GALERKIN METHOD, INTEGRAL-EQUATIONS, MESHLESS METHOD, SCHEME
  • İnönü Üniversitesi Adresli: Evet

Özet

In this manuscript, a Strang splitting approach combined with Chebyshev wavelets has been used to obtain the numerical solutions of regularized long-wave (RLW) equation with various initial and boundary conditions. The performance of the proposed method measured with three different test problems. To measure the accuracy of the method, L-2 and L-infinity error norms and the I-1,I-2,I-3 invariants are computed. The results of the computations are compared with the existing numerical and exact solutions in the literature.