Results 51 to 60 of about 665,985 (155)

A class of numerical methods for autonomous initial value problems

Journal of Numerical Analysis and Approximation Theory, 2012
In this paper we introduce a class of explicit numerical methods for approximating the solutions of scalar initial value problems for first order differential equations, using a nonlinear interpolation formula. We show that the methods generated in
Flavius Olimpiu Pătrulescu
doaj   +2 more sources

Initial value problems for system of differential-algebraic equations in Maple. [PDF]

BMC Res Notes, 2018
Thota S.
europepmc   +1 more source

Long term behavior of solutions for Riccati initial-value problems

Electronic Journal of Differential Equations, 2008
The Riccati equation has been known since the early 1700s. Numerous papers have been written on the solvability of its special cases. However, to the best of our knowledge, there are no papers that investigate the exact (equation specific) conditions
Stefan C. Johnson, Nadejda E. Dyakevich, Sarah Y. Bahk   +2 more
doaj  

A Chebyshev polynomial based block integrator for the direct numerical solution of fourth order ordinary differential equations

Journal of Nigerian Society of Physical Sciences
This paper introduces an innovative method for numerically integrating fourth-order initial value problems by utilizing Chebyshev polynomials as the fundamental basis function.
Oladotun Ogunlaran, Michael Kehinde, Moses Akanbi, Emmanuel Akinola   +3 more
doaj   +1 more source

Initial value problems for Caputo fractional equations with singular nonlinearities

Electronic Journal of Differential Equations, 2019
We consider initial value problems for Caputo fractional equations of the form $D_{C}^{\alpha}u=f$ where f can have a singularity. We consider all orders and prove equivalences with Volterra integral equations in classical spaces such as $C^{m}[0,T]
Jeffrey R. L. Webb
doaj  

Operators and initial-value problems [PDF]

Proceedings of the American Mathematical Society, 1953
openaire   +1 more source

Reproducing kernel methods for solving linear initial-boundary-value problems

Electronic Journal of Differential Equations, 2008
In this paper, a reproducing kernel with polynomial form is used for finding analytical and approximate solutions of a second-order hyperbolic equation with linear initial-boundary conditions.
Li-Hong Yang, Yingzhen Lin
doaj  

Strongly nonlinear parabolic initial-boundary value problems in Orlicz spaces

Electronic Journal of Differential Equations, 2002
problems. We also prove some compactness results in inhomogeneous Orlicz-Sobolev spaces.
Abdelhak Elmahi
doaj  

Initial value problems of fractional order Hadamard-type functional differential equations

Electronic Journal of Differential Equations, 2015
The Banach fixed point theorem and a nonlinear alternative of Leray-Schauder type are used to investigate the existence and uniqueness of solutions for fractional order Hadamard-type functional and neutral functional differential equations.
Bashir Ahmad, Sotiris K. Ntouyas
doaj  

Chaos-Integrated Difference-Enhanced Greater Cane Rat Algorithm and Its Application. [PDF]

Biomimetics (Basel)
Cheng Z, Cao L, Qiu Y, Yue Y.
europepmc   +1 more source