Results 1 to 10 of about 1,053 (100)
On symmetric-conjugate composition methods in the numerical integration of differential equations [PDF]
Mathematics of Computation, 2021 We analyze composition methods with complex coefficients exhibiting the so-called “symmetry-conjugate” pattern in their distribution. In particular, we study their behavior with respect to preservation of qualitative properties when projected on the real
S. Blanes +3 more
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, 2021 This paper focuses on the derivation, analysis and implementation of a hybrid method by optimizing the order of the method by introduction of six-hybrid points for direct solution of fifth order ordinary differential equations of initial value problems ...
R. Ogunrinde +2 more
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Pell-Lucas polynomials for numerical treatment of the nonlinear fractional-order Duffing equation
Demonstratio Mathematica, 2023 The nonlinear fractional-order cubic-quintic-heptic Duffing problem will be solved through a new numerical approximation technique. The suggested method is based on the Pell-Lucas polynomials’ operational matrix in the fractional and integer orders.
El-Sayed Adel Abd Elaziz
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, 2021 In this work, we adapted another time the Adomian decomposition method for solving nonlinear and non-autonomous ODEs systems. Therefore, our expressions of the Adomian polynomials are determined for a several-variable differential operators. The solution
Z. In, T Badredine
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, 2021 This paper is concerned with a thorough investigation in achieving exact analytical solution for the Van der Pol (VDP) nonlinear oscillators models via Adomian decomposition method (ADM).
E. U. Agom, F. Ogunfiditimi
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Orthogonal-Based Second Order Hybrid Initial Value Problem Solver
Fountain Journal of Natural and Applied Sciences (FUJNAS), 2016 This work focuses on development of an initial value problem solver by employing a new class of orthogonal polynomial, the basis function. We present the recursive formula of the class of polynomials constructed and adopt collocation technique to ...
E. O. Adeyefa +3 more
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Pioneering Numerical Techniques for Solving Differential Equations - A Comprehensive overview [PDF]
ITM Web of ConferencesThe field of numerical analysis studies the application of mathematics to solve problems of practical importance. When solving differential equations derived from real-world scenarios, numerical techniques play a crucial role, particularly when a closed ...
Ch Swapna +2 more
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A novel study for solving systems of nonlinear fractional integral equations
Applied Mathematics in Science and Engineering, 2023 In this study, we explore the solution of a nonlinear system of fractional integro-differential equations based on the operational matrix method.
Sondos M. Syam +4 more
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A NEW IMPROVED RUNGE-KUTTA FORMULA FOR DIRECTLY SOLVING $z''(t)=g(t,z,z')$
, 2020 This paper deals with the derivation of an explicit two-stage thirdorder Improved Runge-Kutta Nyström (IRKNG) method for directly solving general second order ordinary differential equations (ODE). This method is twostep and the number of functions to be
Kasim Hussain, F. Ismail
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Time parallelization scheme with an adaptive time step size for solving stiff initial value problems
Open Mathematics, 2018 In this paper, we introduce a practical strategy to select an adaptive time step size suitable for the parareal algorithm designed to parallelize a numerical scheme for solving stiff initial value problems. For the adaptive time step size, a technique to
Bu Sunyoung
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