Zobrazeno 1 - 10
of 35 556
pro vyhledávání: '"Initial value problem"'
Autor:
Mariam Al-Mazmumy, Maryam Ahmed Alyami, Mona Alsulami, Asrar Saleh Alsulami, Saleh S. Redhwan
Publikováno v:
AIMS Mathematics, Vol 9, Iss 11, Pp 30548-30571 (2024)
The present study introduced modifications to the standard Adomian decomposition method (ADM) by combining the Taylor series with orthogonal polynomials, such as Legendre polynomials and the first and second kinds of Chebyshev polynomials. These impr
Externí odkaz:
https://doaj.org/article/1fa076d3dd434db194bab6134d14fca8
Publikováno v:
AIMS Mathematics, Vol 9, Iss 9, Pp 23331-23343 (2024)
This paper considered a functional model which splits to two types of equations, mainly, advance equation and delay equation. The advance equation was solved using an analytical approach. Different types of solutions were obtained for the advance equ
Externí odkaz:
https://doaj.org/article/0982f59c446a42cd83f7958a1889798a
Publikováno v:
AIMS Mathematics, Vol 9, Iss 9, Pp 23368-23383 (2024)
Second order Ordinary Differential Equations (ODE) were considered. Numerov-like techniques employing effectively seven stages per step and sharing eighth algebraic order were under examination for numerically solving them. The coefficients of these
Externí odkaz:
https://doaj.org/article/9b9c866ee5ee4d7ca0ba93d8d83421bd
Autor:
Charlier Christophe, Lenells Jonatan
Publikováno v:
Advances in Nonlinear Analysis, Vol 13, Iss 1, Pp 3181-3198 (2024)
In a recent study, we showed that the large (x,t)\left(x,t) behavior of a class of physically relevant solutions of Boussinesq’s equation for water waves is described by ten main asymptotic sectors. In the sector adjacent to the positive xx-axis, r
Externí odkaz:
https://doaj.org/article/0580e8a9374c492d8f0482d952cc4b10
Autor:
James kona, Kingsley Muka
Publikováno v:
Recent Advances in Natural Sciences, Vol 2, Iss 2 (2024)
Methods for integrating stiff initial value problems are required to be A-stable. Of great interest are A-stable methods whose Jacobian matrices have their eigenvalues close to the imaginary axis of the complex plane. This class of A-stable methods a
Externí odkaz:
https://doaj.org/article/228f58a0052d493997405ec79b460262
Autor:
Mufit San, Seyma Ramazan
Publikováno v:
Electronic Research Archive, Vol 32, Iss 5, Pp 3092-3112 (2024)
In this paper, we study an initial value problem with a weakly singular nonlinear fractional differential equation of higher order. First, we establish the existence of global solutions to the problem within the appropriate function space. We then in
Externí odkaz:
https://doaj.org/article/488ceac11da94cb39ee0ee6861acfd2c
Autor:
Guoping Zhang, Ghder Aburamyah
Publikováno v:
Electronic Journal of Differential Equations, Vol 2024, Iss 12,, Pp 1-19 (2024)
Externí odkaz:
https://doaj.org/article/2c69293b77d44d51a8a67cc4a17bcb99