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A random integral quadrature method for numerical analysis of the second kind of Volterra integral equations.

หน่วยงาน Nanyang Technological University, Singapore

รายละเอียด

ชื่อเรื่อง : A random integral quadrature method for numerical analysis of the second kind of Volterra integral equations.
นักวิจัย : Li, Hua. , Zou, Hua.
คำค้น : DRNTU::Engineering::Mechanical engineering.
หน่วยงาน : Nanyang Technological University, Singapore
ผู้ร่วมงาน : -
ปีพิมพ์ : 2556
อ้างอิง : Li, H., & Zou, H. (2013). A random integral quadrature method for numerical analysis of the second kind of Volterra integral equations. Journal of computational and applied mathematics, 237(1), 35-42. , 0377-0427 , http://hdl.handle.net/10220/17986 , http://dx.doi.org/10.1016/j.cam.2012.06.041
ที่มา : -
ความเชี่ยวชาญ : -
ความสัมพันธ์ : Journal of computational and applied mathematics
ขอบเขตของเนื้อหา : -
บทคัดย่อ/คำอธิบาย :

In this paper, a novel meshless technique termed the random integral quadrature (RIQ) method is developed for the numerical solution of the second kind of the Volterra integral equations. The RIQ method is based on the generalized integral quadrature (GIQ) technique, and associated with the Kriging interpolation function, such that it is regarded as an extension of the GIQ technique. In the GIQ method, the regular computational domain is required, in which the field nodes are scattered along straight lines. In the RIQ method however, the field nodes can be distributed either uniformly or randomly. This is achieved by discretizing the governing integral equation with the GIQ method over a set of virtual nodes that lies along straight lines, and then interpolating the function values at the virtual nodes over all the field nodes which are scattered either randomly or uniformly. In such a way, the governing integral equation is converted approximately into a system of linear algebraic equations, which can be easily solved.

บรรณานุกรม :
Li, Hua. , Zou, Hua. . (2556). A random integral quadrature method for numerical analysis of the second kind of Volterra integral equations..
    กรุงเทพมหานคร : Nanyang Technological University, Singapore.
Li, Hua. , Zou, Hua. . 2556. "A random integral quadrature method for numerical analysis of the second kind of Volterra integral equations.".
    กรุงเทพมหานคร : Nanyang Technological University, Singapore.
Li, Hua. , Zou, Hua. . "A random integral quadrature method for numerical analysis of the second kind of Volterra integral equations.."
    กรุงเทพมหานคร : Nanyang Technological University, Singapore, 2556. Print.
Li, Hua. , Zou, Hua. . A random integral quadrature method for numerical analysis of the second kind of Volterra integral equations.. กรุงเทพมหานคร : Nanyang Technological University, Singapore; 2556.