Interpolation by quartic splines

African Journal of Mathematics and Computer Science Research

Kulbhushan Singh¹ 

关键词: Lacunary interpolarion;    quartic splines;    modulus of continuity.;   

DOI  :  

学科分类：计算机科学（综合）

来源: Academic Journals

【 摘 要 】

This paper proposes two special lacunary interpolation problems using quartic splines of continuity class C2. We call the problems (0,3) and (0,4) lacunary interpolation. In these two cases, the third and fourth derivative respectively is also prescribed in between the nodes along with the function value at the nodes. This paper is divided into two parts namely cases A and B. Case A deals with the (0,3) interpolation problem whereas Case B discusses the (0,4) interpolation problem. Special lacunary interpolation problems have been solved using spline functions of continuity class C2.

【 授权许可】

CC BY