Zobrazeno 1 - 10
of 30
pro vyhledávání: '"S. S. Motsa"'
Publikováno v:
The Scientific World Journal, Vol 2015 (2015)
The stable finite element discretization of the Stokes problem produces a symmetric indefinite system of linear algebraic equations. A variety of iterative solvers have been proposed for such systems in an attempt to construct efficient, fast, and ro
Externí odkaz:
https://doaj.org/article/e72f3d3d23be474b9ed9692c00114271
Autor:
Ramandeep Behl, S. S. Motsa
Publikováno v:
The Scientific World Journal, Vol 2015 (2015)
Based on well-known fourth-order Ostrowski’s method, we proposed many new interesting optimal families of eighth-order multipoint methods without memory for obtaining simple roots. Its geometric construction consists in approximating fn′ at zn in
Externí odkaz:
https://doaj.org/article/b00419b46d45479196a8f1ef99fc0452
Publikováno v:
Advances in Mathematical Physics, Vol 2014 (2014)
Nonlinear partial differential equations (PDEs) modelling unsteady boundary-layer flows are solved by the spectral relaxation method (SRM) and the spectral quasilinearization method (SQLM). The SRM and SQLM are Chebyshev pseudospectral based methods
Externí odkaz:
https://doaj.org/article/14c8ee6291404b18930dbbd70e7aceb1
Publikováno v:
Advances in Mathematical Physics, Vol 2014 (2014)
This paper employs the computational approach known as successive linearization method (SLM) to tackle a fourth order nonlinear differential equation modelling the transient flow of an incompressible viscous fluid between two parallel plates produced
Externí odkaz:
https://doaj.org/article/9cd23e18942d42b18c7a8f76a63c4b11
Publikováno v:
Advances in Mathematical Physics, Vol 2014 (2014)
This paper introduces two novel numerical algorithms for the efficient solution of coupled systems of nonlinear boundary value problems. The methods are benchmarked against existing methods by finding dual solutions of the highly nonlinear system of
Externí odkaz:
https://doaj.org/article/17a518ae46154305ace06fa1118e5cd6
Autor:
S. S. Motsa
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
This paper presents a new application of the homotopy analysis method (HAM) for solving evolution equations described in terms of nonlinear partial differential equations (PDEs). The new approach, termed bivariate spectral homotopy analysis method (B
Externí odkaz:
https://doaj.org/article/565400cfbccd44c9bc58fdca77b9d063
Publikováno v:
The Scientific World Journal, Vol 2014 (2014)
This paper presents a new method for solving higher order nonlinear evolution partial differential equations (NPDEs). The method combines quasilinearisation, the Chebyshev spectral collocation method, and bivariate Lagrange interpolation. In this pap
Externí odkaz:
https://doaj.org/article/247c6ea0c94743ceb248bca87ac404c1
Autor:
S. S. Motsa
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
This work presents a new approach to the application of the spectral homotopy analysis method (SHAM) in solving non-linear partial differential equations (PDEs). The proposed approach is based on an innovative idea of seeking solutions that obey a ru
Externí odkaz:
https://doaj.org/article/7d74a7fe0b7646c9b023b86653db499d
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
The spectral homotopy analysis method is extended to solutions of systems of nonlinear partial differential equations. The SHAM has previously been successfully used to find solutions of nonlinear ordinary differential equations. We solve the nonline
Externí odkaz:
https://doaj.org/article/992c77a8733246b8ba19859628c4b851
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
The nonlinear density temperature variations in two-dimensional nanofluid flow over heated vertical surface with a sinusoidal wall temperature are investigated. The model includes the effects of Brownian motion and thermophoresis. Using the boundary
Externí odkaz:
https://doaj.org/article/348c2346f87943568da97f5ff4f8a0fc