ANALYSIS OF GENERALIZED FINITE CONTINUOUS RIDGELET TRANSFORMS WITH SIMPLY SUPPORTED RECTANGULAR KIRCHHOFF PLATES

被引：0
|
作者：
Gupta, Nitu [1 ]
Gorty, V. R. Lakshmi [1 ]
机构：
[1] SVKMs NMIMS Univ, MPSTME, Basic Sci & Humanities, VL Mehta Rd Vile Parle W, Mumbai 400056, India
来源：
ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES | 2023年 / 30卷 / 02期
关键词：
finite continuous Ridgelet transform; integral transform; testing function space; inversion theorem; operational calculus; uniqueness; heat equation;
D O I：
10.17654/0974324323008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This work presents the application of generalized finite continuous Ridgelet transform (GFCRT). The solution of Kirchhoff plates with rectangular and simply supported obeying Dirichlet boundary conditions is demonstrated using GFCRT. The inversion formula when applied to the stated problem represents an algebraic solution. In the concluding section, the obtained numerical results are discussed with uniformly distributed patch load, general distributed load and point load.
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页码：117 / 134
页数：18
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