Results 21 to 30 of about 14,961,187 (226)
New Variational Principles for Two Kinds of Nonlinear Partial Differential Equation in Shallow Water [PDF]
Journal of Applied and Computational MechanicsVariational principles are very important for a lot of nonlinear problems to be analyzed theoretically or solved numerically. By the popular semi-inverse method and designing trial-Lagrange functionals skillfully, new variational principles are ...
Xiao-Qun Cao +4 more
doaj +1 more source
Open Physics, 2018 In this paper the nonlinear long-short (LS) wave resonance model is analyzed through a new perspective. We obtain the classification of exact solutions by making use of the complete discrimination system for the trial equation method and through the ...
Cimpoiasu Rodica, Pauna Alina Streche
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Trial methods for Bernoulli's free boundary problem [PDF]
, 2014 Free boundary problems deal with solving partial differential equations in a domain, a part of whose boundary is unknown – the so-called free boundary. Beside the standard boundary conditions that are needed in order to solve the partial differential ...
Mitrou, Giannoula
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Extended trial equation method and applications to some nonlinear problems
, 2014 In this paper, we introduce the extended trial equation method for solving nonintegrable partial differential equations in mathematical physics. Some exact solutions including soliton solutions, rational, elliptic integral function, Jacobi elliptic ...
Ekici M. +4 more
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Deterministic numerical solutions of the Boltzmann equation using the fast spectral method [PDF]
, 2013 The Boltzmann equation describes the dynamics of rarefied gas flows, but the multidimensional nature of its collision operator poses a real challenge for its numerical solution. In this paper, the fast spectral method [36], originally developed by Mouhot
White, Craig +4 more
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Nematicons in liquid crystals by extended trial equation method
, 2017 This paper employs extended trial equation method to retrieve nematicons in liquid crystals from its governing equation. In addition, several other forms of solution naturally emerged from the integration algorithm.
Mehmet Ekici +15 more
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, 2022 Using the trial equation method (TEM) and modified trial equation method (MTEM), firstly, we find the analytical solutions of the conformable time-fractional modified nonlinear Schrödinger equation (CTFMNLSE), and finally, we present numerical results in
Javad Vahidi +3 more
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A numerical approach for Camassa-Holm equation using extended trial equation method
, 2021 In this article, we attempt to solve the Camassa-Holm equation using extended trial equation method (ETEM). The validity and applicability of the method are operated for two different cases of the relationship equation obtained as a result of balance ...
Kurulay, Muhammet +1 more
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Outcomes in relapsed or refractory pediatric and AYA bone sarcomas remain poor, and the impact of early referral to specialized sarcoma centers on survival is unclear. Early centralization of care may improve local and systemic treatment quality, but evidence in this population is limited.
Justyna Antoniuk‐Majchrzak +9 more
wiley +1 more source
Traveling Wave Solutions by Extended Trial Equation Method
, 2013 11th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM) -- SEP 21-27, 2013 -- GREECEThis paper obtains soliton solutions, rational function, elliptic integral function F solution and Jacobi elliptic function solution by using
Yusuf Gurefe +3 more
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