Wszystkie pola: Wazwaz, A. - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: A fifth-order Korteweg-de Vries equation for shallow water with surface tension: Multiple soliton solutions
Autorzy:: Wazwaz, A.
Powiązania:: https://bibliotekanauki.pl/articles/1075550.pdf
Data publikacji:: 2016-09
Wydawca:: Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:: 02.70.Wz
02.30.Lk
02.30.Jr
Opis:: In this work we study a fifth-order Korteweg-de Vries equation for shallow water with surface tension derived by Dullin et al. The fifth-order Korteweg-de Vries equation, derived by using the nonlinear/non-local transformations introduced by Kodama, and the Camassa-Holm equation with linear dispersion, have very different behaviors despite being asymptotically equivalent. We use the simplified form of the Hirota direct method to derive multiple soliton solutions for this equation.
Źródło:: Acta Physica Polonica A; 2016, 130, 3; 679-682
0587-4246
1898-794X
Pojawia się w:: Acta Physica Polonica A
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Bernstein operational matrix of differentiation and collocation approach for a class of three-point singular BVPs: error estimate and convergence analysis
Autorzy:: Sriwastav, Nikhil
Barnwal, Amit K.
Wazwaz, Abdul-Majid
Singh, Mehakpreet
Powiązania:: https://bibliotekanauki.pl/articles/29519371.pdf
Data publikacji:: 2023
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: Bernstein polynomials
collocation method
three-point singular BVPs
convergence analysis
error estimate
Opis:: Singular boundary value problems (BVPs) have widespread applications in the field of engineering, chemical science, astrophysics and mathematical biology. Finding an approximate solution to a problem with both singularity and non-linearity is highly challenging. The goal of the current study is to establish a numerical approach for dealing with problems involving three-point boundary conditions. The Bernstein polynomials and collocation nodes of a domain are used for developing the proposed numerical approach. The straightforward mathematical formulation and easy to code, makes the proposed numerical method accessible and adaptable for the researchers working in the field of engineering and sciences. The priori error estimate and convergence analysis are carried out to affirm the viability of the proposed method. Various examples are considered and worked out in order to illustrate its applicability and effectiveness. The results demonstrate excellent accuracy and efficiency compared to the other existing methods.
Źródło:: Opuscula Mathematica; 2023, 43, 4; 575-601
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

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