Results 11 to 20 of about 665,985 (155)

New Algorithms for Dealing with Fractional Initial Value Problems

Axioms, 2023
This work purposes to establish two small numerical modifications for the Fractional Euler method (FEM) and the Modified Fractional Euler Method (MFEM) to deal with fractional initial value problems.
Iqbal M. Batiha, Ahmad A. Abubaker, Iqbal H. Jebril, Suha B. Al-Shaikh, Khaled Matarneh   +4 more
doaj   +1 more source

Symmetries for initial value problems

Applied Mathematics Letters, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Joanna Goard, Samar Al-Nassar
openaire   +2 more sources

A new type of shooting method for nonlinear boundary value problems

Alexandria Engineering Journal, 2013
In this article we introduce a new type of iterative method for initial value problems (IVPs). We enhance this method by using shooting techniques and interpolation for the boundary value problems. Our method is more accurate and applicable than built in
Muhammad Ahsan, Sarah Farrukh
doaj   +1 more source

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

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

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

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