A direct method for solving calculus of variations problems using the whale optimization algorithm

SH Hashemi Mehne, S Mirjalili - Evolutionary Intelligence, 2019 - Springer
A numerical algorithm for solving problems of calculus of variations is proposed and
analyzed in the present paper. The method is based on direct minimizing the functional in its …

[PDF][PDF] Boubaker Scaling Operational Matrices for Solving Calculus of Variation Problems

EH Ouda, SF Ibraheem, S SHIHAB - Iraqi Journal of Science, 2023 - iasj.net
In this paper, a general expression formula for the Boubaker scaling (BS) operational matrix
of the derivative is constructed. Then it is used to study a new parameterization direct …

[PDF][PDF] Numerical solution of calculus of variation problems via exponential spline method

R Mohammadi, MS Zahedi, Z Bayat - Mathematical Sciences …, 2015 - researchgate.net
In this work, an exponential spline method is developed and analyzed for approximating
solutions of calculus of variations problems. The method uses a spline interpolant, which is …

Quadratic spline solution of calculus of variation problems

R Mohammadi, AS Alavi - TWMS Journal of Applied and …, 2015 - dergipark.org.tr
In this paper, we developed numerical method of order O h 2 and based on quadratic
polynomial spline function for the numerical solution of class of two point boundary value …

[PDF][PDF] Solution of Problems in Calculus of Variations Using Parameterization Technique

FA Sadeq - vol, 2014 - iasj.net
In this paper a direct method using parameterization technique is applied for solving some
problems in calculus of variations. The parameterization technique based on Laguerre and …

Full Hermite Interpolation and Approximation in Topological Fields

L Dăuş, G Groza, M Jianu - Mathematics, 2022 - mdpi.com
By using generalized divided differences, we study the simultaneous interpolation of an m
times continuously differentiable function and its derivatives up to a fixed order in a …

[PDF][PDF] Some Basic Orthogonal Polynomials: Definitions And Properties

SH Abed - muqdadedu.uodiyala.edu.iq
Orthogonal polynomials are connected with many mathematical, physical, engineering, and
computer sciences topics, such as trigonometry, hyper geometric series, special and elliptic …

[PDF][PDF] POLYNOMIAL APPROXIMATION OF VARIATIONAL PROBLEMS

L DAUS, G GROZA - Bucharest, May 25, 2019 - dmi.utcb.ro
POLYNOMIAL APPROXIMATION OF VARIATIONAL PROBLEMS Page 38 POLYNOMIAL
APPROXIMATION OF VARIATIONAL PROBLEMS LEONARD DAUS AND GHIOCEL GROZA …

[PDF][PDF] The Approximation Solution of Some Calculus of Variation Problems Based Euler-Lagrange Equations

ZK Alabacy - Engineering and Technology Journal, 2016 - researchgate.net
ﻻﮐراﻧﺞ - ﺑﺎﻻﻋﺗﻣﺎد ﻋﻟﯽ ﻣﻌﺎدﻻت اوﯾﻟر ﻣﺳﺎﺋل ﺣﺳﺎب اﻟﺗﻐﺎﯾ Page 1 Eng. &Tech.Journal, Vol.34,Part (B), No.1,2016
80 The Approximation Solution of Some Calculus of Variation Problems Based Euler-Lagrange …

[PDF][PDF] An Application of Differential Transform Method for Optimal Control Problems

ZK Alabacy - journal of the college of basic education, 2014 - iasj.net
In this paper, a numerical method is presented for finding the solution of some optimal
control problems. Finding the solution of these problems need to solve the corresponding …