TY - JOUR
T1 - A Second Kind Chebyshev Polynomial Approach for the Wave Equation Subject to an Integral Conservation Condition
AU - Somayeh Nemati and Yadollah Ordokhani
JO - Journal of Information and Computing Science
VL - 3
SP - 163
EP - 171
PY - 2024
DA - 2024/01
SN - 7
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22639.html
KW - Wave equation, Non-local condition, Second kind Chebyshev polynomials, Operational matrix, 
Matrix form. 

AB -  The main purpose of this article is to present an approximate solution for the one dimensional 
wave equation subject to an integral conservation condition in terms of second kind Chebyshev polynomials. 
The  operational  matrices  of  integration  and  derivation  are  introduced  and  utilized  to  reduce  the  wave 
equation  and  the  conditions  into  the  matrix  equations  which  correspond  to  a  system  of  linear  algebraic 
equations  with  unknown  Chebyshev  coefficients.  Finally,  some  examples  are  presented  to  illustrate  the 
applicability of the method.