فهرس المقالات Spline functions

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  1 - Long Term Optimal Control for HIV Treatment Using Spline Functions
  Hamed Fereidouni Ahmad Fakharian
  10.30495/ijsee.2021.685122
  This paper presents a long term optimal control treatment of human immunodeficiency virus (HIV) infection. HIV destroys the body immune system, increases the risk of certain pathologies, damages body organs such as the brain, kidney, and heart, and causes death. Unfortu أکثر

  This paper presents a long term optimal control treatment of human immunodeficiency virus (HIV) infection. HIV destroys the body immune system, increases the risk of certain pathologies, damages body organs such as the brain, kidney, and heart, and causes death. Unfortunately, this infectious disease currently has no cure; however, there are effective retroviral drugs for improving the patients’ health conditions. In this paper, two treatment drugs are considered to decrease the free HIV virus particles in the blood. Since excessive use of these drugs is not without harmful side effects, the prescription dosage should be minimum. Thus, we formulate an optimal control problem to reduce the HIV virus particles in the blood by using minimum drugs. To solve the obtained optimal control, direct method and spline functions are utilized. The main advantage of the direct method to the indirect method is the low computational cost of this solution. Spline functions are tools used in the direct solving approach to achieve the better solutions. Also, three different models are considered in this paper to evaluate the effectiveness of the proposed method in different conditions. In addition, in the end, we compare the results from the proposed approach with the results of the problem solving by indirect method. Furthermore, the sensitivity analysis is checked to demonstrate the performance of control system against parametric uncertainties. تفاصيل المقالة
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  2 - Numerical solution of functional integral equations by using B-splines
  R. Firouzdor A. Heidarnejad Khoob Z. Mollaramezani
  This paper describes an approximating solution, based on Lagrange interpolationand spline functions, to treat functional integral equations of Fredholm type and Volterra type.This method can be extended to functional differential and integro-differential equations. Fors أکثر

  This paper describes an approximating solution, based on Lagrange interpolationand spline functions, to treat functional integral equations of Fredholm type and Volterra type.This method can be extended to functional differential and integro-differential equations. Forshowing efficiency of the method we give some numerical examples. تفاصيل المقالة