Reproducing Kernel for Periodic Boundary Conditions

被引：0

作者：

Patel, Gautam ^{[1
]}

Patel, Kaushal ^{[1
]}

机构：

[1] Veer Narmad South Gujarat Univ, Dept Math, Surat, Gujarat, India

来源：

SOUTHEAST ASIAN BULLETIN OF MATHEMATICS | 2023年 / 47卷 / 06期

关键词：

Inner product; Hilbert space; Reproducing kernel Hilbert space; Reproduc-ing kernel; Periodic boundary conditions; EQUATIONS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduced a reproducing kernel space which is a particular class of Hilbert space. We discuss various properties of the reproducing kernel. In particular, our aim is to construct kernel in reproducing kernel Hilbert space of the specific function space (Sobolev space) with the improved inner product and norm. Also, we derive the reproducing kernel for periodic boundary conditions.

引用

页码：805 / 818

页数：14

共 50 条

[1] Reproducing Kernel for Neumann Boundary Conditions
Patel, Gautam
Patel, Kaushal
[J]. PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2022, 54 (11): : 679 - 688
[2] Admissible approximations for essential boundary conditions in the reproducing kernel particle method
Northwestern Univ, Evanston, United States
[J]. Comput Mech, 2 (120-135):
[3] Admissible approximations for essential boundary conditions in the reproducing kernel particle method
Gosz, J
Liu, WK
[J]. COMPUTATIONAL MECHANICS, 1996, 19 (02) : 120 - 135
[4] Solving the forced Duffing equation with integral boundary conditions in the reproducing kernel space
Du, Juan
Cui, Minggen
[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2010, 87 (09) : 2088 - 2100
[5] Solving nonlinear pseudoparabolic equations with nonlocal boundary conditions in reproducing kernel space
Lin Yingzhen
Zhou Yongfang
[J]. NUMERICAL ALGORITHMS, 2009, 52 (02) : 173 - 186
[6] Solving nonlinear pseudoparabolic equations with nonlocal boundary conditions in reproducing kernel space
Yingzhen Lin
Yongfang Zhou
[J]. Numerical Algorithms, 2009, 52 : 173 - 186
[7] Applying the Reproducing Kernel Method to Fractional Differential Equations with Periodic Conditions in Hilbert Space
Saky, Hoda
Abbasbandy, Saeid
Shivanian, Elyas
[J]. JOURNAL OF MATHEMATICS, 2022, 2022
[8] Approximate Solutions of DASs with Nonclassical Boundary Conditions using Novel Reproducing Kernel Algorithm
Abu Arqub, Omar
[J]. FUNDAMENTA INFORMATICAE, 2016, 146 (03) : 231 - 254
[9] Solving singular nonlinear second-order periodic boundary value problems in the reproducing kernel space
Geng, Fazhan
Cui, Minggen
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2007, 192 (02) : 389 - 398
[10] A Reproducing Kernel Method for Solving Systems of Integro-differential Equations with Nonlocal Boundary Conditions
M. Ghasemi
M. Fardi
E. Moradi
[J]. Iranian Journal of Science and Technology, Transactions A: Science, 2021, 45 : 1375 - 1382

← 1 2 3 4 5 →