The Legendre wavelets operational matrix of integration

M Razzaghi, S Yousefi - International Journal of Systems Science, 2001 - Taylor & Francis
The Legendre wavelets operational matrix of integration Page 1 International Journal of Systems
Science, 2001, volume 32, number 4, pages 495±502 The Legendre wavelets operational …

Numerical solution of differential equations by using Chebyshev wavelet operational matrix of integration

E Babolian, F Fattahzadeh - Applied Mathematics and computation, 2007 - Elsevier
In this paper we present operational matrix of integration (OMI) of Chebyshev wavelets basis
and the product operation matrix (POM) of it. Some comparative examples are included to …

Legendre wavelets direct method for variational problems

M Razzaghi, S Yousefi - Mathematics and computers in simulation, 2000 - Elsevier
A direct method for solving variational problems using Legendre wavelets is presented. An
operational matrix of integration is first introduced and is utilized to reduce a variational …

Shape based approximation of constrained low-thrust space trajectories using Fourier series

E Taheri, O Abdelkhalik - Journal of Spacecraft and Rockets, 2012 - arc.aiaa.org
THE problems of spacecraft trajectory design and optimization attracted the attention of
researchers since the mid-1920s, when Walter Hohmann published his work on trajectory …

Numerical solution technique for solving isoperimetric variational problems

AMS Mahdy, ESM Youssef - International Journal of Modern Physics …, 2021 - World Scientific
In this paper, we have a zeal for fulfilling the estimated scientific answers for the calculus of
variations by using the Sumudu transform method (STM). The main target is to search the …

Numerical computation method in solving integral equations by using Chebyshev wavelet operational matrix of integration

E Babolian, F Fattahzadeh - Applied Mathematics and Computation, 2007 - Elsevier
A direct method for solving integral equations whose solutions are continuous or
discontinuous by using Chebyshev wavelet basis in Galerkin equations is presented …

The Bernoulli wavelets operational matrix of integration and its applications for the solution of linear and nonlinear problems in calculus of variations

E Keshavarz, Y Ordokhani, M Razzaghi - Applied Mathematics and …, 2019 - Elsevier
In this paper, a new method for solving some classes of linear and nonlinear problems in
calculus of variations is presented. The method is based upon Bernoulli wavelets. The …

Legendre wavelets method for constrained optimal control problems

M Razzaghi, S Yousefi - Mathematical methods in the applied …, 2002 - Wiley Online Library
A numerical method for solving non‐linear optimal control problems with inequality
constraints is presented in this paper. The method is based upon Legendre wavelet …

Direct method for variational problems via hybrid of block‐pulse and Chebyshev functions

M Razzaghi, HR Marzban - Mathematical problems in …, 2000 - Wiley Online Library
A direct method for finding the solution of variational problems using a hybrid function is
discussed. The hybrid functions which consist of block‐pulse functions plus Chebyshev …

[HTML][HTML] Hybrid functions approach for linearly constrained quadratic optimal control problems

HR Marzban, M Razzaghi - Applied Mathematical Modelling, 2003 - Elsevier
A numerical method for solving time varying linear quadratic optimal control problems with
inequality constraints is presented. The method is based upon hybrid functions …