In this paper,we consider a one-dimensional model of blood flow along the compliant arteries.With the help of the invariant function,we construct and classify the optimal system of subalgebras.Next,we reduced the give...
supported by the National Natural Science Foundations of China(Grant Nos.12372073 and U20B2013);the Natural Science Basic Research Program of Shaanxi(Program No.2023-JC-QN-0030).
A numerical approach is an effective means of solving boundary value problems(BVPs).This study focuses on physical problems with general partial differential equations(PDEs).It investigates the solution approach throu...
supported by the National Natural Science Foundation of China(Grant Nos.12171245,11971416,11971242,12301508);by the Natural Science Foundation of Henan Province(Grant No.222300420280);by the Natural Science Foundation of Hunan Province(Grant No.2023JJ40656);by the Scientific Research Fund of Xuchang University(Grant No.2024ZD010).
In the paper,we propose a novel linearly implicit structure-preserving algorithm,which is derived by combing the invariant energy quadratization approach with the exponential time differencing method,to construct effi...