Results 11 to 20 of about 388 (83)
Frontiers in Physics, 2022 Studying and analyzing the random motion of a particle immersed in a liquid represented in the Langevin fractional model by Caputo’s independent derivative is one of the aims of applied physics.
Mohammad Abdel Aal +2 more
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Accurate Four-Step Hybrid Block Method for Solving Higher-Order Initial Value Problems
مجلة بغداد للعلوم, 2022 This paper focuses on developing a self-starting numerical approach that can be used for direct integration of higher-order initial value problems of Ordinary Differential Equations.
Olanegan, O. O., Adeyefa, E. O.
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A new order m – 1 rational integrator with an inhomogeneuous constant
Scientific African, 2023 In this research work we derived a new order m – 1, rational integrator with an inhomogeneous constant for the solution of ordinary differential equations.
Fidelis Ebhohomen +1 more
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Numerical solution of fractional Sturm-Liouville equation in integral form [PDF]
, 2014 In this paper a fractional differential equation of the Euler-Lagrange / Sturm-Liouville type is considered. The fractional equation with derivatives of order $\alpha \in \left( 0,1 \right]$ in the finite time interval is transformed to the integral form.
Blaszczyk, Tomasz, Ciesielski, Mariusz
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A High-Order Method for Stiff Boundary Value Problems with Turning Points [PDF]
, 1987 This paper describes some high-order collocation-like methods for the numerical solution of stiff boundary-value problems with turning points. The presentation concentrates on the implementation of these methods in conjunction with the implementation of ...
Brown, David L., Lorenz, Jens
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Free Boundary Formulation for BVPs on a Semi-Infinite Interval and Non-Iterative Transformation Methods [PDF]
, 2014 This paper is concerned with two examples on the application of the free boundary formulation to BVPs on a semi-infinite interval. In both cases we are able to provide the exact solution of both the BVP and its free boundary formulation. Therefore, these
Fazio, Riccardo
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Boundary value problem with fractional p-Laplacian operator
Advances in Nonlinear Analysis, 2016 The aim of this paper is to obtain the existence of solution for the fractional p-Laplacian Dirichlet problem with mixed derivatives tDTα(|0Dtαu(t)|p-20Dtαu(t)) = f(t,u(t)), t ∈ [0,T], u(0) = u(T) = 0, where 1/p < α < 1, 1 < p < ∞ and f : [0,T] × ℝ → ℝ ...
Torres Ledesma César
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Septic B-spline method for second order self-adjoint singularly perturbed boundary-value problems
Ain Shams Engineering Journal, 2018 In the present paper, we develop a septic B-spline method for solving a self-adjoint singularly perturbed two-point boundary value problem. This method is applied directly to the numerical solution of the problems without reducing its order.
Ram Kishun Lodhi, Hradyesh Kumar Mishra
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Finite‐part singular integral approximations in Hilbert spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 52, Page 2787-2793, 2004., 2004 Some new approximation methods are proposed for the numerical evaluation of the finite‐part singular integral equations defined on Hilbert spaces when their singularity consists of a homeomorphism of the integration interval, which is a unit circle, on itself.
E. G. Ladopoulos +2 more
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Boundary value problems of a discrete generalized beam equation via variational methods
Open Mathematics, 2018 The authors explore the boundary value problems of a discrete generalized beam equation. Using the critical point theory, some sufficient conditions for the existence of the solutions are obtained.
Liu Xia, Zhou Tao, Shi Haiping
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