Modified Taylor wavelets approach to the numerical results of second order differential equations

2021 ◽  
Vol 3 (2) ◽  
pp. 136
Author(s):  
Ankit Kumar ◽  
Sag Ram Verma
Keyword(s):  
Differential Equations ◽  
Second Order ◽  
Numerical Results ◽  
Second Order Differential Equations

scholarly journals Existence, uniqueness, and quasilinearization results for nonlinear differential equations arising in viscoelastic fluid flow

2006 ◽  
Vol 2006 ◽  
pp. 1-9 ◽  
Author(s):  
F. Talay Akyildiz ◽  
K. Vajravelu
Keyword(s):  
Fluid Flow ◽  
Differential Equations ◽  
Viscoelastic Fluid ◽  
Poiseuille Flow ◽  
Nonlinear Differential Equations ◽  
Second Order ◽  
Numerical Results ◽  
Second Order Differential Equations ◽  
Salient Features ◽  
Quasilinearization Technique

Solutions for a class of nonlinear second-order differential equations arising in steady Poiseuille flow of an Oldroyd six-constant model are obtained using the quasilinearization technique. Existence, uniqueness, and analyticity results are established using Schauder theory. Numerical results are presented graphically and salient features of the solutions are discussed.

ON A CERTAIN NONLOCAL POTENTIAL

1966 ◽  
Vol 44 (3) ◽  
pp. 629-636 ◽  
Author(s):  
V. de la Cruz ◽  
B. A. Orman ◽  
M. Razavy
Keyword(s):  
Differential Equations ◽  
Green's Functions ◽  
Green’S Functions ◽  
Second Order ◽  
Numerical Results ◽  
Nonlocal Potential ◽  
Second Order Differential Equations ◽  
Nonlocal Potentials

A solvable example of a class of nonlocal potentials, whose kernels are related to Green's functions of second-order differential equations, is examined. This solvable example is applied to a few standard problems and, in particular, acceptable numerical results are obtained for p–p scattering in the 1S state.

scholarly journals Application of the Kantbp 4m program for analysis of models of the low-dimensional quantum systems

2019 ◽  
Vol 16 (3) ◽  
pp. 121
Author(s):  
Luong Le Hai ◽  
Tran Thi Lua ◽  
Gusev Alexander Alexandrovich ◽  
Vinitsky Sergey Ilich ◽  
Chuluunbaatar Ochbadrakh
Keyword(s):  
Differential Equations ◽  
Mathematical Models ◽  
Adjoint System ◽  
Quantum Systems ◽  
Second Order ◽  
Numerical Results ◽  
The Self ◽  
Boundary Problems ◽  
Second Order Differential Equations ◽  
Low Dimensional

In the paper, a calculating program named “KANTBP 4M – A program for solving boundary problems of the self-adjoint system of ordinary second order differential equations” is presented. The KANTBP 4M program studied different mathematical models reduced from complex physical ones and gave the numerical results and the accuracy of these results in comparison with the analytical ones.

Banach Lie Algebroids

2011 ◽  
Vol 57 (2) ◽  
pp. 409-416
Author(s):  
Mihai Anastasiei
Keyword(s):  
Differential Equations ◽  
Smooth Manifold ◽  
Vector Bundles ◽  
Second Order ◽  
Lie Algebroids ◽  
Second Order Differential Equations

Banach Lie AlgebroidsFirst, we extend the notion of second order differential equations (SODE) on a smooth manifold to anchored Banach vector bundles. Then we define the Banach Lie algebroids as Lie algebroids structures modeled on anchored Banach vector bundles and prove that they form a category.

scholarly journals New oscillation criteria for second-order neutral differential equations with distributed deviating arguments

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Osama Moaaz ◽  
Choonkil Park ◽  
Elmetwally M. Elabbasy ◽  
Waed Muhsin
Keyword(s):  
Differential Equations ◽  
Second Order ◽  
The Other ◽  
Riccati Transformation ◽  
Transformation Technique ◽  
Deviating Arguments ◽  
Neutral Differential Equations ◽  
Second Order Differential Equations ◽  
Continuous Delay ◽  
New Criteria

AbstractIn this work, we create new oscillation conditions for solutions of second-order differential equations with continuous delay. The new criteria were created based on Riccati transformation technique and comparison principles. Furthermore, we obtain iterative criteria that can be applied even when the other criteria fail. The results obtained in this paper improve and extend the relevant previous results as illustrated by examples.

scholarly journals Fixed point theorems via Generalized WF-Contractions with applications

SeMA Journal ◽  
2021 ◽  
Author(s):  
Rosana Rodríguez-López ◽  
Rakesh Tiwari
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Boundary Value Problem ◽  
Fixed Point Theorems ◽  
Boundary Value ◽  
Second Order ◽  
Point Boundary ◽  
New Class ◽  
Second Order Differential Equations ◽  
Fixed Point Result

AbstractThe aim of this paper is to introduce a new class of mixed contractions which allow to revise and generalize some results obtained in [6] by R. Gubran, W. M. Alfaqih and M. Imdad. We also provide an example corresponding to this class of mappings and show how the new fixed point result relates to the above-mentioned result in [6]. Further, we present an application to the solvability of a two-point boundary value problem for second order differential equations.

scholarly journals Oscillation of Second-Order Differential Equations with Multiple and Mixed Delays under a Canonical Operator

Mathematics ◽  
2021 ◽  
Vol 9 (12) ◽  
pp. 1323
Author(s):  
Shyam Sundar Santra ◽  
Rami Ahmad El-Nabulsi ◽  
Khaled Mohamed Khedher
Keyword(s):  
Differential Equations ◽  
Necessary Conditions ◽  
Second Order ◽  
Multiple Delays ◽  
Mixed Delays ◽  
Neutral Differential Equations ◽  
Canonical Operator ◽  
Second Order Differential Equations ◽  
The Future ◽  
Sufficient And Necessary Conditions

In this work, we obtained new sufficient and necessary conditions for the oscillation of second-order differential equations with mixed and multiple delays under a canonical operator. Our methods could be applicable to find the sufficient and necessary conditions for any neutral differential equations. Furthermore, we proved the validity of the obtained results via particular examples. At the end of the paper, we provide the future scope of this study.

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