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dc.contributor.authorIlyas, H.
dc.contributor.authorKutlu, K.
dc.contributor.authorAhmad, I.
dc.contributor.authorHussain, S. I.
dc.contributor.authorGuirao, J. L. G.
dc.contributor.authorAnam, V.
dc.description.abstractIn this study, numerical treatment of liquid crystal model described through Hunter-Saxton equation (HSE) has been presented by sinc collocation technique through theta weighted scheme due to its enormous applications including, defects, phase diagrams, self-assembly, rheology, phase transitions, interfaces, and integrated biological applications in mesophase materials and processes. Sinc functions provide the procedure for function approximation over all types of domains containing singularities, semi-infinite or infinite domains. Sinc functions have been used to reduce HSE into an algebraic system of equations that makes the solution quite superficial. These algebraic equations have been interpreted as matrices. This projected that sinc collocation technique is considerably efficacious on computational ground for higher accuracy and convergence of numerical solutions. Stability analysis of the proposed technique has ensured the accuracy and reliability of the method, moreover, as the stability parameter satisfied the condition the proposed solution of the problem converges. The solution of the HSE is presented through graphical figures and tables for different cases that are constructed on various values of θ and collocation points. The accuracy and efficiency of the proposed technique is analyzed on the basis of absolute errors.en_US
dc.description.sponsorshipMinisterio de Ciencia, Innovación y Universidades grant number PGC2018-0971-B-100 and Fundación Séneca - Agencia de Ciencia y Tecnología de la Región de Murcia grant number 20783/PI/18. Also It has been supported by the National Research Program for Universities (NRPU), Higher Education Commission, Pakistan, No. 8103/Punjab/NRPU/R and D/HEC/2017.en_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.subjectSinc collocation method (SCM); Hunter-Saxton equation (HSE); Liquid crystals (LC); Stability analysis; Numerical solution of PDEsen_US
dc.titleNumerical computing approach for solving Hunter-Saxton equation arising in liquid crystal model through sinc collocation methoden_US

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Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España