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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Algebraic structure of space and field [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2001 We investigate an algebraic structure of the space of solutions of autonomous nonlinear differential equations of certain type. It is shown that for these equations infinitely many binary algebraic laws of addition of solutions exist.
Z. Z. Khukhunashvili +1 more
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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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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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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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Modified Extended Lie-Group Method for Hessenberg Differential Algebraic Equations with Index-3
Mathematics, 2023 Hessenberg differential algebraic equations (Hessenberg-DAEs) with a high index play a critical role in the modeling of mechanical systems and multibody dynamics.
Juan Tang, Jianguang Lu
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African Scientific Reports, 2022 This paper consider collocation approach for the numerical solution of Volterra-Fredholm Integro-differential equation using collocation method. We transformed the problem into a system of linear algebraic equations and matrix inversion is adopted to ...
G. Ajileye, F. A. Aminu
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Karpatsʹkì Matematičnì Publìkacìï, 2022 This paper deals with the boundary value problem for a singularly perturbed system of differential algebraic equations of the second order. The case of simple roots of the characteristic equation is studied.
P.F. Samusenko, M.B. Vira
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