Results 31 to 40 of about 250,487 (182)
Numerical Solution via Operational Matrix for Solving Prabhakar Fractional Differential Equations
Journal of Mathematics, 2022 In this work, we apply the operational matrix based on shifted Legendre polynomials for solving Prabhakar fractional differential equations. The Prabhakar derivative is defined in three-parameter Mittag-Leffler function. We achieve this by first deriving
Farah Suraya Md Nasrudin, Chang Phang
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On Solving System of Linear Differential-Algebraic Equations Using Reduction Algorithm
International Journal of Mathematics and Mathematical Sciences, 2020 In this paper, we present a new reduction algorithm for solving system of linear differential-algebraic equations with power series coefficients. In the proposed algorithm, we transform the given system of differential-algebraic equations into another ...
Srinivasarao Thota
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Degree of the divisor of solutions of a differential equation on a projective variety [PDF]
, 1999 Using the data schemes developed by Arrondo-Sols-Speiser, we give a rigorous definition of algebraic differential equations on the complex projective space $P^n$.
Muñoz, Vicente, Sols, Ignacio
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Differential/Algebraic Equations As Stiff Ordinary Differential Equations
SIAM Journal on Numerical Analysis, 1992 To a system of differential algebraic equations: \[ \text{(DAE)}\quad y'(t)=f(t,y(t),z(t),0),\quad g(t,y(t),z(t),0)=0, \] a system of singularly perturbed ordinary differential equations: \[ \text{(ODE)}\quad y_ \varepsilon'(t)=f(t,y_ \varepsilon(t),z_ \varepsilon(t),\varepsilon), \varepsilon z_ \varepsilon'(t)=g(t,y_ \varepsilon(t),z_ \varepsilon(t ...
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Nonlinear differential equations and algebraic systems
International Journal of Mathematics and Mathematical Sciences, 1978 In this paper we obtain the general solution of scalar, first-order differential equations. The method is variation of parameters with asymptotic series and the theory of partial differential equations.
Lloyd K. Williams
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Aerospace, 2023 This study deals with the mathematical modeling and numerical simulation of chemical propulsion systems (CPSs). For this, we investigate and summarize a comprehensive collection of the simulation modeling developments of CPSs in academic works ...
Jihyoung Cha
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Localized direct boundary–domain integro–differential formulations for scalar nonlinear boundary-value problems with variable coefficients [PDF]
, 2005 Mixed boundary-value Problems (BVPs) for a second-order quasi-linear elliptic partial differential equation with variable coefficients dependent on the unknown solution and its gradient are considered.
Mikhailov, SE
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LIE ALGEBRAIC DISCRETIZATION OF DIFFERENTIAL EQUATIONS [PDF]
Modern Physics Letters A, 1995 A certain representation for the Heisenberg algebra in finite difference operators is established. The Lie algebraic procedure of discretization of differential equations with isospectral property is proposed. Using sl 2-algebra based approach, (quasi)-exactly-solvable finite difference equations are described.
Smirnov, Yuri, Turbiner, Alexander
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On discrete analogues of nonlinear implicit differential equations
Advances in Difference Equations, 2006 This paper deals with some classes of nonlinear implicit difference equations obtained via discretization of nonlinear differential-algebraic or partial differential-algebraic equations.
Anh Pham Ky, Loi Le Cong
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Free integro-differential algebras and Groebner-Shirshov bases [PDF]
, 2014 The notion of commutative integro-differential algebra was introduced for the algebraic study of boundary problems for linear ordinary differential equations. Its noncommutative analog achieves a similar purpose for linear systems of such equations.
Gao, Xing, Guo, Li, Rosenkranz, Markus
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