Numerical computing approach for solving Hunter-Saxton equation arising in liquid crystal model through sinc collocation method
Ver/
Compartir
Estadísticas
Ver Estadísticas de usoMetadatos
Mostrar el registro completo del ítemÁrea de conocimiento
Matemática AplicadaPatrocinadores
This research has been partially supported by Ministerio 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.Fecha de publicación
2021Editorial
ElsevierCita bibliográfica
Ahmad, I., Ilyas, H., Kutlu, K., Anam, V., Hussain, S. I., & Guirao, J. (2021). Numerical computing approach for solving Hunter-Saxton equation arising in liquid crystal model through sinc collocation method. Heliyon, 7(7), e07600. https://doi.org/10.1016/j.heliyon.2021.e07600Palabras clave
Hunter-Saxton equation (HSE)Liquid crystals (LC)
Numerical solution of PDEs
Sinc collocation method (SCM)
Stability analysis
Resumen
In 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 ...
Colecciones
- Artículos [1734]
El ítem tiene asociados los siguientes ficheros de licencia:
Redes sociales