Results 31 to 40 of about 9,730 (163)
In our research, we ascertain abundant novel exact traveling wave solutions of (2 + 1)-dimensional first integro-differential Kadomtsev-Petviashivili hierarchy equation by two new modified mathematical methods namely called generalized direct algebraic ...
Aly R. Seadawy +2 more
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A problem with parameter for the integro-differential equations
The article proposes a numerically approximate method for solving a boundary value problem for an integro-differential equation with a parameter and considers its convergence, stability, and accuracy. The integro-differential equation with a parameter is
Elmira A. Bakirova +2 more
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A Taylor collocation method has been developed to solve the systems of high-order linear differential–difference equations in terms of the Taylor polynomials.
Elçin Gökmen, Mehmet Sezer
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A Legendre Wavelet Spectral Collocation Method for Solving Oscillatory Initial Value Problems
In this paper, we propose an iterative spectral method for solving differential equations with initial values on large intervals. In the proposed method, we first extend the Legendre wavelet suitable for large intervals, and then the Legendre-Guass ...
A. Karimi Dizicheh +3 more
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Fractional calculus is widely used in engineering fields. In complex mechanical systems, multi-body dynamics can be modelled by fractional differential-algebraic equations when considering the fractional constitutive relations of some materials.
Yongpeng Tai +4 more
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: The current article aims to analytically solve the conformable space-time fractional Fokas (CSTFF) equation in (4+1) dimensions. The new sub-equation method is applied to achieve this purpose.
A. S. Rashed +2 more
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Delay regularity of differential-algebraic equations [PDF]
We study linear time-invariant delay differential-algebraic equations (DDAEs). Such equations can arise if a feedback controller is applied to a descriptor system and the controller requires some time to measure the state and to compute the feedback resulting in the time-delay. We present an existence and uniqueness result for DDAEs within the space of
Stephan Trenn, Benjamin Unger
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Vieta-Lucas operational matrix technique for fractional variable-order integro-differential equations [PDF]
The aim of this article is to find an effective method for solving variable-order fractional integro-differential equations. This method transforms the problem into a system of algebraic equations.
Mohsen Riahi Beni
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Dichotomic Structure of DAEs Solutions for the Aircraft Control [PDF]
The paper has its roots in earlier studies focused on DAEs solutions, for the aircraft flight control and intends to be a synthesis of them. The main goal is to structure the solution for the control laws so as to derive its components, which control any
Sorin Ştefan RADNEF
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On a Newton‐Type Method for Differential‐Algebraic Equations [PDF]
This paper deals with the approximation of systems of differential‐algebraic equations based on a certain error functional naturally associated with the system. In seeking to minimize the error, by using standard descent schemes, the procedure can never get stuck in local minima but will always and steadily decrease the error until getting to the ...
Sergio Amat +2 more
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