Results 11 to 20 of about 297 (60)
Advances in Mechanical Engineering, 2021 For this work, a novel numerical approach is proposed to obtain solution for the class of coupled time-fractional Boussinesq–Burger equations which is a nonlinear system.
Mahmoud S Alrawashdeh, Shifaa Bani-Issa
doaj +2 more sources
Nonlinear Engineering, 2023 In this work, the generalized scale-invariant analog of the Korteweg–de Vries equation is studied. For the first time, the tanh–coth methodology is used to find traveling wave solutions for this nonlinear equation.
González-Gaxiola Oswaldo +1 more
doaj +1 more source
Annales Mathematicae Silesianae, 2020 This work presents a numerical comparison between two efficient methods namely the fractional natural variational iteration method (FNVIM) and the fractional natural homotopy perturbation method (FNHPM) to solve a certain type of nonlinear Caputo time ...
Khalouta Ali, Kadem Abdelouahab
doaj +1 more source
Stochastic ranking process with time dependent intensities [PDF]
, 2010 We consider the stochastic ranking process with space-time dependent jump rates for the particles. The process is a simplified model of the time evolution of the rankings such as sales ranks at online bookstores.
Yuu Hariya +5 more
semanticscholar +1 more source
Journal of Ocean Engineering and Science, 2022 This paper systematically investigates the exact solutions to an extended (2+1)-dimensional Boussinesq equation, which arises in several physical applications, including the propagation of shallow-water waves, with the help of the Lie symmetry analysis ...
Sachin Kumar, Setu Rani
doaj
Journal of Ocean Engineering and Science, 2022 The physical principles of natural occurrences are frequently examined using nonlinear evolution equations (NLEEs). Nonlinear equations are intensively investigated in mathematical physics, ocean physics, scientific applications, and marine engineering ...
Sachin Kumar, Amit Kumar
doaj
Journal of Ocean Engineering and Science, 2022 The generalized exponential rational function (GERF) method is used in this work to obtain analytic wave solutions to the Kudryashov-Sinelshchikov (KS) equation.
Sachin Kumar +2 more
doaj
GROUP FOLIATION OF DIFFERENTIAL EQUATIONS USING MOVING FRAMES
Forum of Mathematics, Sigma, 2015 We incorporate the new theory of equivariant moving frames for Lie pseudogroups into Vessiot’s method of group foliation of differential equations. The automorphic system is replaced by a set of reconstruction equations on the pseudogroup jets.
ROBERT THOMPSON, FRANCIS VALIQUETTE
doaj +1 more source
Journal of Ocean Engineering and Science, 2023 Nonlinear evolution equations (NLEEs) are frequently employed to determine the fundamental principles of natural phenomena. Nonlinear equations are studied extensively in nonlinear sciences, ocean physics, fluid dynamics, plasma physics, scientific ...
Sachin Kumar +2 more
doaj
Adomian decomposition method for first order PDEs with unprescribed data
Alexandria Engineering Journal, 2021 In this paper we like to explore the full power of Adomian decomposition method (ADM), specially its symbolic capability. We will demonstrate the standard ADM and ADM with integration factor to compute explicit closed form solutions of first order scalar
Tzon-Tzer Lu, Wei-Quan Zheng
doaj