Results 21 to 30 of about 4,624 (137)

Solution of the Jeffery–Hamel flow problem by optimal homotopy asymptotic method

Computers & Mathematics with Applications, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Esmaeilpour, M., Ganji, D.D.
openaire   +3 more sources

Optimal Homotopy Asymptotic Method for Solving Delay Differential Equations [PDF]

Mathematical Problems in Engineering, 2013
We extend for the first time the applicability of the optimal homotopy asymptotic method (OHAM) to find the algorithm of approximate analytic solution of delay differential equations (DDEs). The analytical solutions for various examples of linear and nonlinear and system of initial value problems of DDEs are obtained successfully by this method ...
N. Ratib Anakira, A. K. Alomari, I. Hashim   +2 more
openaire   +1 more source

Sampling-based Algorithms for Optimal Motion Planning [PDF]

, 2011
During the last decade, sampling-based path planning algorithms, such as Probabilistic RoadMaps (PRM) and Rapidly-exploring Random Trees (RRT), have been shown to work well in practice and possess theoretical guarantees such as probabilistic completeness.
Abramowitz M, Alterovitz R., Arya S., Arya S., Balister P., Berenson D., Berenson D., Branicky MS, Branicky MS, Brooks R., Bruce J., Bry A., Canny J., Choset H., Cortes J., Emilio Frazzoli, Ferguson D., Grimmett G., Henze N., Hsu D., Hsu D., Karaman S., Karaman S., Karaman S., Karaman S., Kavraki L., Koren Y., LaValle SM, Lee DT, Likhachev M., Lin MC, Liu Y., Luders B., Munkres JR, Plaku E., Reif JH, Resnick SI, Sahimi M., Samet H., Samet H., Schrijver A., Sertac Karaman, Shkolnik A., Stentz D., Stilman M., Stoyan D., Tedrake R., Teller S., Urmson C., Wedge NA, Yershova A., Zucker M.   +51 more
core   +3 more sources

Multiple Solutions of Problems in Fluid Mechanics by Predictor Optimal Homotopy Asymptotic Method

Advances in Mechanical Engineering, 2014
A new algorithm based on the standard optimal homotopy asymptotic method, namely, the predictor optimal homotopy asymptotic method (POHAM), is proposed to predict the multiplicity of the solutions of nonlinear differential equations with boundary ...
A. K. Alomari, N. Ratib Anakira, I. Hashim   +2 more
doaj   +1 more source

Comparative Study of Plane Poiseuille Flow of Non-isothermal ‎Couple ‎Stress Fluid of Reynold Viscosity Model using Optimal ‎Homotopy ‎Asymptotic Method and New Iterative Method [PDF]

Journal of Applied and Computational Mechanics, 2021
In this paper, we have explored the steady Poiseuille flow of couple stress fluid between two parallel plates under ‎the influence of non-isothermal effects of Reynold viscosity model, using Optimal Homotopy Asymptotic Method ‎‎(OHAM) and New Iterative ...
Alamgeer Khan, Muhammad Farooq, Rashid Nawaz, Muhammad Ayaz, Saeed Islam   +4 more
doaj   +1 more source

On the maximal number of real embeddings of minimally rigid graphs in $\mathbb{R}^2$, $\mathbb{R}^3$ and $S^2$ [PDF]

, 2018
Rigidity theory studies the properties of graphs that can have rigid embeddings in a euclidean space $\mathbb{R}^d$ or on a sphere and which in addition satisfy certain edge length constraints. One of the major open problems in this field is to determine
Bartzos, Evangelos, Emiris, Ioannis Z., Legerský, Jan, Tsigaridas, Elias   +3 more
core   +3 more sources

Comparison of optimal homotopy analysis method and fractional homotopy analysis transform method for the dynamical analysis of fractional order optical solitons

Advances in Mechanical Engineering, 2017
In this article, dynamical analysis of fractional order Schrödinger equation governing the optical wave propagation is reported in detail. The validity criteria for the application of the semi-analytic asymptotic methods are exploited. Comparison between
Sarmad Arshad, Abdul M Siddiqui, Ayesha Sohail, Khadija Maqbool, ZhiWu Li   +4 more
doaj   +1 more source

On the Solutions of Fractional Burgers-Fisher and Generalized Fisher’s Equations Using Two Reliable Methods

International Journal of Mathematics and Mathematical Sciences, 2014
Two reliable techniques, Haar wavelet method and optimal homotopy asymptotic method (OHAM), are presented. Haar wavelet method is an efficient numerical method for the numerical solution of arbitrary order partial differential equations like Burgers ...
A. K. Gupta, S. Saha Ray
doaj   +1 more source

Solutions of nonlinear real world problems by a new analytical technique

Heliyon, 2018
Here a new analytical scheme is presented to solve nonlinear boundary value problems (BVPs) of higher order occurring in nonlinear phenomena. This method is called second alternative of Optimal Homotopy Asymptotic Method.
Liaqat Ali, Saeed Islam, Taza Gul, Muhammad Altaf Khan, Ebenezer Bonyah   +4 more
doaj   +1 more source

SOLUSI PENDEKATAN PERSAMAAN GELOMBANG FRAKSIONAL NON LINEAR MENGGUNAKAN NEW VERSION OF OPTIMAL HOMOTOPY ASYMPTOTIC METHOD

Barekeng, 2020
Non-linear differential equations with fractional derivative order are mathematical models that are widely used in modeling physical phenomena, one of the applications of these models is non-linear fractional wave equations.
Faiqul Fikri, Eddy Djauhari, Endang Rusyaman   +2 more
doaj   +1 more source