Results 11 to 20 of about 4,008,929 (272)

A new procedure of initial boundary value problems using homotopy perturbation method

Journal of Kufa for Mathematics and Computer, 2013
In this paper, , a new procedure is applied to treatment of initial boundary value problems by mixed initial and boundary conditions together  to obtain a new initial solution at every iteration using homotopy perturbation method.
Abeer Majeed Jassim, Elaf Jaafar Ali, Afrah Abd-Imam Ahmed   +2 more
doaj   +1 more source

Embedded Exponentially-Fitted Explicit Runge-Kutta-Nyström Methods for Solving Periodic Problems

Computation, 2020
In this work, a pair of embedded explicit exponentially-fitted Runge–Kutta–Nyström methods is formulated for solving special second-order ordinary differential equations (ODEs) with periodic solutions.
Musa Ahmed Demba, Poom Kumam, Wiboonsak Watthayu, Pawicha Phairatchatniyom   +3 more
doaj   +1 more source

Coarse Projective kMC Integration: Forward/Reverse Initial and Boundary Value Problems [PDF]

, 2003
In "equation-free" multiscale computation a dynamic model is given at a fine, microscopic level; yet we believe that its coarse-grained, macroscopic dynamics can be described by closed equations involving only coarse variables.
C.W. Gear, Chorin, Chorin, Constantin, Gear, Gear, Gear, Gillespie, Gillespie, Gillespie, Hummer, Hénon, Ioannis G. Kevrekidis, Jansen, Leis, Li, Lust, Makeev, Makeev, Melchior, Melchior, R. Rico-Martı́nez, Runborg, Shroff, Siettos, Siettos, Temam, Theodoropoulos, Vigil   +28 more
core   +1 more source

Adaptive Piecewise Poly-Sinc Methods for Ordinary Differential Equations

Algorithms, 2022
We propose a new method of adaptive piecewise approximation based on Sinc points for ordinary differential equations. The adaptive method is a piecewise collocation method which utilizes Poly-Sinc interpolation to reach a preset level of accuracy for the
Omar Khalil, Hany El-Sharkawy, Maha Youssef, Gerd Baumann   +3 more
doaj   +1 more source

Direct Power Series Approach for Solving Nonlinear Initial Value Problems

Axioms, 2023
In this research, a new approach for solving fractional initial value problems is presented. The main goal of this study focuses on establishing direct formulas to find the coefficients of approximate series solutions of target problems.
Emad Salah, Rania Saadeh, Ahmad Qazza, Raed Hatamleh   +3 more
doaj   +1 more source

On Killing vectors in initial value problems for asymptotically flat space-times [PDF]

, 2000
The existence of symmetries in asymptotically flat space-times are studied from the point of view of initial value problems. General necessary and sufficient (implicit) conditions are given for the existence of Killing vector fields in the asymptotic ...
Bicak J, Frauendiener J, Frauendiener J, Frauendiener J, Frauendiener J, Friedrich H, Friedrich H, Friedrich H, Friedrich H, Geroch R, Hübner P, Hübner P, Hübner P, Hübner P, Hübner P, Hübner P, Hübner P, Hübner P, Hübner P, János Kánnár, Kánnár J, Penrose R, Rácz I, Rácz I, Taylor M E   +24 more
core   +2 more sources

Hybrid Initial Value Problems of Fractional Order with q-Derivatives

Journal of Mathematics, 2022
In the present article, it has been tried to extend the theory of q-fractional hybrid differential equations that entails Riemann–Liouville q-differential operators.
Roja Mahmoudi Matankolae, Bahram Agheli, Sirous Ghobadi, Rahmat Darzi, Mohammad Adabitabar Firozja   +4 more
doaj   +1 more source

A Numerical Solution of Generalized Caputo Fractional Initial Value Problems

Fractal and Fractional, 2023
In this article, the numerical adaptive predictor corrector (Apc-ABM) method is presented to solve generalized Caputo fractional initial value problems. The Apc-ABM method was utilized to establish approximate series solutions. The presented technique is
Rania Saadeh, Mohamed A. Abdoon, Ahmad Qazza, Mohammed Berir   +3 more
doaj   +1 more source

Solving the difference initial-boundary value problems by the operator exponential method [PDF]

, 2000
We suggest a modification of the operator exponential method for the numerical solving the difference linear initial boundary value problems. The scheme is based on the representation of the difference operator for given boundary conditions as the ...
Andronov A, Fraerman A A, Hardin R H, Kato T, Marchuk G I, Nefedov I M, Riesz F, Samarsky A A   +7 more
core   +2 more sources

Novel Approximate Solutions for Nonlinear Initial and Boundary Value Problems

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023
This paper investigates an effective computational method (ECM) based on the standard polynomials used to solve some nonlinear initial and boundary value problems appeared in engineering and applied sciences.
Othman Mahdi Salih, Majeed A. AL-Jawary, Mustafa Turkyilmazoglu   +2 more
doaj   +1 more source