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This handbook is the fourth volume in a series of volumes devoted to self contained and up-to-date surveys in the theory of ordinary differential equations, with an additional effort to achieve readability for mathematic...

Subjects / keywords: BIRKHOFF, GARRETT; JOHN WILEY AND SONS; 515.35 B619o3

Abstract The purpose of this research is the development of a Hybrid Technique for solving Boundary Value Problems (BVPs) linear & non-linear in Ordinary Differential Equations (ODEs). We display the hybrid method by usi...

Recent advances in protein structure prediction, such as AlphaFold, have demonstrated the power of deep neural architectures like the Evoformer for capturing complex spatial and evolutionary constraints on protein confor...

During the Covid-19 pandemic, real-time social media data could in principle be used as an early predictor of a new epidemic wave. This possibility is examined here by employing a neural ordinary differential equation (n...

The prerequisite for the study of this book is a knowledge of matrices and the essentials of functions of a complex variable. It has been developed from courses given by the authors and probably contains more material th...

Subjects / keywords: Dynamic recrystallization; Materials science; Microstructure; Kinetics; Recrystallization (geology); Alloy; Titanium alloy; Electron backscatter diffraction; Work (physics); Thermodynamics; Metallurgy; Hot working

In this study we investigate the approximation of the solution for nonlinear system of integro-differential equations of Volterra type with boundary conditions. The numerical-analytic method of periodic solutions for ord...

The article talks about the increasing importance of the practical use of fuzzy differential equations in modeling complex problems in various fields, such as science and engineering, as these differential equations allo...

Differential equations are equations that relate a function to one or more of its derivatives. Nonlinear means that the equation is not directly proportional to the function and its derivatives. In other words, its varia...

ABSTRACT In this study we investigate the existence and approximation of the periodic solutions for nonlinear system of differential equations of third order with boundary conditions. The numerical-analytic method has be...

ABSTRACT In this paper we study the existence and approximation of the periodic solutions for certain systems of second-order of integro-differential equations unsolvable for the highest derivative by using the numerical...

ABSTRACT In this paper we study the existence and approximation of the periodic solutions for a system of first order nonlinear differential equations by assuming that each of the functions are measurable at t and bounde...

ABSTRACT In this paper we investigate the existence and approximation of the periodic solution for a system of nonlinear integro-differential equations of Volterra type. The numerical-analytic method has been used to stu...

Abstract Stability properties of implicit – explicit (IMEX) of linear multistep methods for ordinary differential equations are analyzed on the basis of stability regions defined by using scalar test equations. This st...

ABSTRACT In this paper we study the existence and approximation of the solutions for some systems of nonlinear integro-differential equations with having retarded arguments and boundary conditions. The numerical–analyt...

ABSTRACT In this paper we study the existence and approximation of the periodicsolutions for system of second order nonlinear differential equations according to Lebesgue integrable concept and by assuming that each of ...

We propose a simple preconditioning for the equations of motion of constrained mechanical systems in index three form. The scaling transformation is applied to the displacement‐velocity‐multiplier and to the reduced ...

Abstract In this paper we study the solvability conditions for a system of Nonhomogenous ordinary differential equations of the first order with boundary conditions by using the method which is given by [3,4].

Abstract There are vast constraint equations in conventional dynamics analysis of deployable structures, which lead to differential-algebraic equations (DAEs) solved hard. To reduce the difficulty of solving and the amou...

The main objective of this original research article is to understand the short-term dynamic behavior of the transport-category airplane during landing flare elevator control application. Increasing the pitch angle to ar...

Abstract The main purpose of this research is the survey of the development Block parallel numerical algorithms for solute stiff ordinary differential equations which are suitable for running on MIMD (Multiple instructi...