Yazar "Hashemi, Mir Sajjad" seçeneğine göre listele

Listeleniyor 1 - 4 / 4
  • Küçük Resim
    Öğe
    New optical solitons for Biswas-Arshed equation with higher order dispersions and full nonlinearity
    (ELSEVIER GMBH, HACKERBRUCKE 6, 80335 MUNICH, GERMANY, 2020) Körpınar, Zeliha; İnç, Mustafa; Bayram, Mustafa; Hashemi, Mir Sajjad
    In this paper, the extended Jacobi's elliptic function approach is used to solve the Biswas–Arshed equation in two different types. This method reveals several optical solitons including traveling wave solutions. The found solutions are identified bright, dark, singular optical solitons and Jacobi elliptic function solutions. Reliability of the process is presented with graphical consequence of derived solutions.
  • Küçük Resim
    Öğe
    On numerical solution of the time-fractional diffusion-wave equation with the fictitious time integration method
    (SPRINGER HEIDELBERG, TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY, 2019) Hashemi, Mir Sajjad; İnç, Mustafa; Parto-Haghighi, Mohammad; Bayram, Mustafa
    In this work we offer a robust numerical algorithm based on the Lie group to solve the timefractional diffusion-wave (TFDW) equation. Firstly, we use a fictitious time variable ? to convert the related variable u(x, t) into a new space with one extra dimension. Then by using a composition of the group preserving scheme (GPS) and a semi-discretization of new variable, we approximate the solutions of the problem. Finally, various numerical experiments are performed to illustrate the power and accuracy of the given method.
  • Küçük Resim
    Öğe
    Symmetry Properties and Exact Solutions of the Time Fractional Kolmogorov-Petrovskii-Piskunov Equation
    (SOC MEXICANA FISICA, APARTADO POSTAL 70-348, COYOACAN 04511, MEXICO, 2019) Hashemi, Mir Sajjad; İnç, Mustafa; Bayram, Mustafa
    In this paper, the time fractional Kolmogorov-Petrovskii-Piskunov (TFKPP) equation is analyzed by means of Lie symmetry approach. The TFKPP is reduced to ordinary differential equation of fractional order via the attained point symmetries. Moreover, the simplest equation method is used in construct the exact solutions of underlying equation with recently introduced conformable fractional derivative.
  • Küçük Resim
    Öğe
    Two reliable methods for solving the forced convection in a porous-saturated duct
    (SPRINGER HEIDELBERG, TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY, 2020) Hashemi, Mir Sajjad; İnç, Mustafa; Seyfi, Negar; Bayram, Mustafa
    In this paper, the solution of nonlinear forced convection in a porous saturable duct is numerically approximated by two different approaches. The first one is a Lie group integrator based on the group SL2(R), whose calculation is far simpler and easier. The second method is reproducing kernel Hilbert space (RKHS) method which uses the Hilbert spaces in calculation. Convergence analyses for both methods were done. Effects of the porous media shaped parameter, Forchheimer number, and viscosity ratio on the solutions are discussed and illustrated by the proposed methods. The numerical experimentsshowed that the SL2(R)-shooting method and RKHS method are suitable for solving the forced convection in a porous-saturated duct with high accuracy and efficiency.