Modification of the Hpm by Using Optimal Newton Interpolation Polynomial for Quadratic Riccati Differential Equation
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Authors
F. Ghomanjani
- Young Researchers and Elite Club, Mashhad Branch, Islamic Azad University, Mashhad, Iran.
F. Divandar
- Department of Control, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran.
Abstract
In this work, an efficient modification of the homotopy analysis method by using optimal Newton interpolation polynomials is given for the approximate solutions of the Riccati differential equations. This presented method can be applied to linear and nonlinear models. Examples show that the method is effective.
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ISRP Style
F. Ghomanjani, F. Divandar, Modification of the Hpm by Using Optimal Newton Interpolation Polynomial for Quadratic Riccati Differential Equation, Journal of Mathematics and Computer Science, 14 (2015), no. 2, 162-170
AMA Style
Ghomanjani F., Divandar F., Modification of the Hpm by Using Optimal Newton Interpolation Polynomial for Quadratic Riccati Differential Equation. J Math Comput SCI-JM. (2015); 14(2):162-170
Chicago/Turabian Style
Ghomanjani, F., Divandar, F.. "Modification of the Hpm by Using Optimal Newton Interpolation Polynomial for Quadratic Riccati Differential Equation." Journal of Mathematics and Computer Science, 14, no. 2 (2015): 162-170
Keywords
- quadratic Riccati differential equation
- modification of the HPM
- Newton interpolation.
MSC
References
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