Cargando…

On the Application of Homotopy Perturbation Method for Solving Systems of Linear Equations

The application of homotopy perturbation method (HPM) for solving systems of linear equations is further discussed and focused on a method for choosing an auxiliary matrix to improve the rate of convergence. Moreover, solving of convection-diffusion equations has been developed by HPM and the conver...

Descripción completa

Detalles Bibliográficos
Autores principales:	Edalatpanah, S. A., Rashidi, M. M.
Formato:	Online Artículo Texto
Lenguaje:	English
Publicado:	Hindawi Publishing Corporation 2014
Materias:	Research Article
Acceso en línea:	https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4897428/ https://www.ncbi.nlm.nih.gov/pubmed/27350974 http://dx.doi.org/10.1155/2014/143512

Ejemplares similares

Modified homotopy perturbation method for solving hypersingular integral equations of the first kind
por: Eshkuvatov, Z. K., et al.
Publicado: (2016)

On new sixth and seventh order iterative methods for solving non-linear equations using homotopy perturbation technique
por: Thota, Srinivasarao, et al.
Publicado: (2022)

Homotopy perturbation method with Laplace Transform (LT-HPM) for solving Lane–Emden type differential equations (LETDEs)
por: Tripathi, Rajnee, et al.
Publicado: (2016)

An approximate analytical solution of the Allen-Cahn equation using homotopy perturbation method and homotopy analysis method
por: Hussain, Safdar, et al.
Publicado: (2019)

Solving Black–Scholes equations using fractional generalized homotopy analysis method
por: Saratha, S. R., et al.
Publicado: (2020)

Applying Discrete Homotopy Analysis Method for Solving Fractional Partial Differential Equations
por: Özpınar, Figen
Publicado: (2018)

Homotopy perturbation method: a versatile tool to evaluate linear and nonlinear fuzzy Volterra integral equations of the second kind
por: Narayanamoorthy, S., et al.
Publicado: (2016)

The Convergence Study of the Homotopy Analysis Method for Solving Nonlinear Volterra-Fredholm Integrodifferential Equations
por: Ghanbari, Behzad
Publicado: (2014)

Laplace transform homotopy perturbation method for the approximation of variational problems
por: Filobello-Nino, U., et al.
Publicado: (2016)

Approximate Analytical Solutions of the Regularized Long Wave Equation Using the Optimal Homotopy Perturbation Method
por: Bota, Constantin, et al.
Publicado: (2014)

Homotopy iterative methods for polynomial equations
por: Pomentale, T
Publicado: (1974)

Beyond perturbation: introduction to the homotopy analysis method
por: Liao, Shijun
Publicado: (2003)

Nonlinearities distribution Laplace transform-homotopy perturbation method
por: Filobello-Nino, Uriel, et al.
Publicado: (2014)

A Proposed Method for Solving Fuzzy System of Linear Equations
por: Kargar, Reza, et al.
Publicado: (2014)

Homotopy Analysis Method in Nonlinear Differential Equations
por: Liao, Shijun
Publicado: (2012)

The homotopy index and partial differential equations
por: Rybakowski, Krzysztof P
Publicado: (1987)

Novel methods for solving linear and nonlinear integral equations
por: Ray, Santanu Saha, et al.
Publicado: (2018)

Iterative method for solving linear operator equation of the first kind
por: Noaman, Salam Abdulkhaleq, et al.
Publicado: (2023)

An implicit iterative scheme for solving large systems of linear equations
por: Barry, J M, et al.
Publicado: (1986)

Fractional analysis of unsteady squeezing flow of Casson fluid via homotopy perturbation method
por: Qayyum, Mubashir, et al.
Publicado: (2022)

The linear equations method to solve Boundary problems of electrostatics and examples of its application to electron optics
por: Topuria, T P, et al.
Publicado: (1998)

Using interval unions to solve linear systems of equations with uncertainties
por: Montanher, Tiago, et al.
Publicado: (2017)

The novel approach to solving systems of linear algebraic equations (SLAE)
por: Ilyushchenko, V I
Publicado: (1993)

The optimal homotopy asymptotic method: engineering applications
por: Marinca, Vasile, et al.
Publicado: (2015)

Methods for solving systems of nonlinear equations
por: Rheinboldt, Werner C
Publicado: (1974)

Geometric Applications of Homotopy Theory
por: Barratt, M, et al.
Publicado: (1978)

Critical-component method for solving systems of linear equations with a tridiagonal matrix of the general form
por: Emelyanenko, G A, et al.
Publicado: (1996)

A two-qubit photonic quantum processor and its application to solving systems of linear equations
por: Barz, Stefanie, et al.
Publicado: (2014)

Remarks on Kaczmarz Algorithm for Solving Consistent and Inconsistent System of Linear Equations
por: Huang, Xinyin, et al.
Publicado: (2020)

Haar wavelets method for solving class of coupled systems of linear fractional Fredholm integro-differential equations
por: Darweesh, Amer, et al.
Publicado: (2023)

Solving singularly perturbed fredholm integro-differential equation using exact finite difference method
por: Badeye, Solomon Regasa, et al.
Publicado: (2023)

Iterative methods for solving linear systems /
por: Greenbaum, Anne
Publicado: (1997)

Evolution Equation for Non-linear Cosmological Perturbations
por: Brustein, Ram, et al.
Publicado: (2011)

Groups of homotopy classes: rank formulas and homotopy-commutativity
por: Arkowitz, M, et al.
Publicado: (1967)

Groups of homotopy classes: rank formulas and homotopy-commutativity
por: Arkowitz, M, et al.
Publicado: (1964)

Decision Scheduling for Cloud Computing Tasks Relying on Solving Large Linear Systems of Equations
por: He, Jing
Publicado: (2022)

Block-by-block method for solving non-linear Volterra integral equation of the first kind
por: Ghiat, Mourad, et al.
Publicado: (2023)

New Multi-Step Iterative Methods for Solving Systems of Nonlinear Equations and Their Application on GNSS Pseudorange Equations
por: Madhu, Kalyanasundaram, et al.
Publicado: (2020)

Erratum: A two-qubit photonic quantum processor and its application to solving systems of linear equations
por: Barz, Stefanie, et al.
Publicado: (2017)

Stable homotopy
por: Cohen, Joel M
Publicado: (1970)

Cannot write session to /tmp/vufind_sessions/sess_a5lm99rkll391kj2j4lok85jn7