Results 21 to 30 of about 43,948 (194)
Solving Fractional Partial Differential Equations with Corrected Fourier Series Method
Abstract and Applied Analysis, 2014 The corrected Fourier series (CFS) is proposed for solving partial differential equations (PDEs) with fractional time derivative on a finite domain. In the previous work, we have been solving partial differential equations by using corrected Fourier ...
Nor Hafizah Zainal, Adem Kılıçman
doaj +1 more source
Non-commutative NLS-type hierarchies: dressing & solutions [PDF]
, 2019 We consider the generalized matrix non-linear Schrodinger (NLS) hierarchy. By employing the universal Darboux-dressing scheme we derive solutions for the hierarchy of integrable PDEs via solutions of the matrix Gelfand-Levitan-Marchenko equation, and we ...
Doikou, Anastasia +2 more
core +2 more sources
Journal of Applied Mathematics, 2013 This paper develops a modified variational iteration method coupled with the Legendre wavelets, which can be used for the efficient numerical solution of nonlinear partial differential equations (PDEs). The approximate solutions of PDEs are calculated in
Fukang Yin +3 more
doaj +1 more source
Fractal and Fractional, 2021 The present investigation dealing with a hybrid technique coupled with a new iterative transform method, namely the iterative Elzaki transform method (IETM), is employed to solve the nonlinear fractional Fisher’s model.
Saima Rashid +4 more
doaj +1 more source
Taylor Series for Adomian Decomposition Method
, 2011 In the paper we analyse the exact solutions to scalar PDEs obtained thanks to summable Taylor series provided by Adomian's decomposition method. We propose the modification of the method which makes the calculations of Taylor coefficients easier and more
Kutafina, Ekaterina
core +1 more source
Are physiological oscillations physiological?
The Journal of Physiology, EarlyView., 2023 Abstract figure legend Mechanisms and functions of physiological oscillations. Abstract Despite widespread and striking examples of physiological oscillations, their functional role is often unclear. Even glycolysis, the paradigm example of oscillatory biochemistry, has seen questions about its oscillatory function.
Lingyun (Ivy) Xiong, Alan Garfinkel
wiley +1 more source
Partial Differential Equations in Applied MathematicsThe presented paper aims to investigate, examine, and analyze the nonlinear time-fractional evolution partial differential equations (TFNE-PDEs) in the sense of Caputo essential in numerous nonlinear wave propagation phenomena.
Tareq Eriqat +5 more
doaj +1 more source
Advances in Difference Equations, 2021 The complex PDEs are a very important and interesting task in nonlinear quantum science. Although there have been extensive studies on the classical complex models, solving the fractional complex models still has a lot of shortcomings, especially for the
Ruichao Ren, Shunli Zhang
doaj +1 more source
Analytic Solution for Systems of Two-Dimensional Time Conformable Fractional PDEs by Using CFRDTM
International Journal of Mathematics and Mathematical Sciences, 2019 In this study we use the conformable fractional reduced differential transform (CFRDTM) method to compute solutions for systems of nonlinear conformable fractional PDEs.
Abir Chaouk, Maher Jneid
doaj +1 more source
Smooth and non-smooth traveling wave solutions of some generalized Camassa-Holm equations
, 2013 In this paper we employ two recent analytical approaches to investigate the possible classes of traveling wave solutions of some members of a recently-derived integrable family of generalized Camassa-Holm (GCH) equations.
Choudhury, S. Roy +2 more
core +1 more source