Simple algorithm for judging equivalence of differential-algebraic equation systems [PDF]
Scientific Reports, 2023 Mathematical formulas play a prominent role in science, technology, engineering, and mathematics (STEM) documents; understanding STEM documents usually requires knowing the difference between equation groups containing multiple equations.
Shota Kato, Chunpu Zhang, Manabu Kano
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Advances in Mechanical Engineering, 2015 Based on the general model of design optimization of multibody dynamics, a modified genetic algorithm with adaptive crossover and mutation rates is developed to find optimal design variables which satisfy the dynamic constraints and obtain optimum ...
Jieyu Ding
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Novel closed-form travelling wave solutions for space-time fractional coupled Boussinesq–Burger model using extended direct algebraic method [PDF]
Scientific ReportsThe nonlinear fractional partial differential equation known as the space-time fractional coupled Boussinesq-Burger equation (S TFcBBE) is examined in this work.
Taha Radwan +4 more
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Differential Algebraic Equations [PDF]
, 2021 AbstractLet H be a Hilbert space and $$\nu \in \mathbb {R}$$ ν ∈ ℝ . We saw in the previous chapter how initial value problems can be formulated within the framework of evolutionary equations.
Christian Seifert +2 more
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Numerical solution to Volterra integro-differential equations using collocation approximation [PDF]
Mathematics and Computational Sciences, 2023 This paper considers the collocation method for the numerical solution of the Volterra integro- differential equation using polynomial basis functions.
Ganiyu Ajileye, Sikiru Amoo
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Numerical differential continuation approach for systems of nonlinear equations with singular Jacobian [PDF]
AUT Journal of Mathematics and Computing, 2022 It is well known that, one of the useful and rapid methods for a nonlinear system of algebraic equations is Newton’s method. Newton’s method has at least quadratic convergence when the Jacobian is a nonsingular matrix in a neighborhood of the solution ...
Mohammad Ali Mehrpouya
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Differential Algebraic Equations [PDF]
, 2006 Workshop ...
Peter Kunkel, Volker Mehrmann
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Linearisation of a second-order nonlinear ordinary differential equation
Acta Polytechnica, 2023 We analyse nonlinear second-order differential equations in terms of algebraic properties by reducing a nonlinear partial differential equation to a nonlinear second-order ordinary differential equation via the point symmetry f(v)∂v.
Adhir Maharaj +3 more
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Development of technique of Backward integration step-by-step for solve stiff initial value problems
Tikrit Journal of Pure Science, 2023 Our purpose in this paper is the development of the technique of backward integration step-by-step, In order to facilitating the use of this technique for solving the Stiff Problems.
Khalid A. M. Khalaf, Bashir M. S. Khalaf
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Transforming Radical Differential Equations to Algebraic Differential Equations
Mediterranean Journal of Mathematics, 2022 Abstract In this paper we present an algorithmic procedure that transforms, if possible, a given system of ordinary or partial differential equations with radical dependencies in the unknown function and its derivatives into a system with polynomial relations among them by means of a rational change of variables.
Falkensteiner, Sebastian +1 more
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