Asian Journal of Mathematics and Computer Research

In this article, mixed convective flow of nanofluids in a vertical porous channel along with heat generation or absorption is examined. The governing equations incorporates the Brownian motion and thermophoresis effects. The dimensionless governing equations are coupled and non-linear. These equations are solved by using Adomian decomposition method and bvp4c MATLAB code. The velocity, temperature and concentration fields for variation of various physical parameters are
analysed graphically. The values of Nusselt number and Sherwood number at the walls of the channel are tabulated and analysed.

This paper investigates a network model incorporating multiple discrete delays. The existence of periodic oscillatory solutions for such a three-layer neural network has been derived. Due to the multiple time delays, bifurcating method is hard to detect the existence of periodic oscillatory solutions for this model. Some criteria by means of the mathematical analysis method are provided to guarantee the existence of periodic oscillatory solutions. Our criterion is very easy to check.
Some simulations are presented to demonstrate the correctness of the results. Computer simulation indicates that the present theorems are only sufficient conditions.

In this paper, h(x)-Jacobsthal octonion polynomials to generalize both k-Jacobsthal octonion numbers and Horadam's Jacobsthal octonion polynomials have been defined. In addition,the generating function of h(x)-Jacobsthal Octonion polynomials as well as the Binet's formula for these octonion polynomials have been defined and explained further.Additionally, the generating function of h(x)-Jacobsthal octonion polynomial sequence has been found.In addition,this reseach can be beneficial for reseachers who are interested in such mathematical domain and formula as well as can be more beneficial for students and learners.

In this paper a nonlinear delay differential equation (NDDE) of arbitrary orders of Riemann- Liouville sense is studied. Adomian decomposition method (ADM) is used to solve this type of equations. The existence and stability of a unique solution will be proved. Convergence analysis of ADM is discussed. The maximum absolute truncated error of Adomian’s series solution is estimated. Stability of the solution is also discussed.

Decision-making (DM) holds a pivotal role in different spheres such as industry, healthcare, personal management etc. The multi-criteria decision making (MCDM) approaches includes choosing a prospective alternative from the set of available alternatives. Various DM techniques are utilized for choosing the optimal alternative and one such prominent technique is “Technique for order preference by similarity to ideal solution” (TOPSIS). This paper unfolds a review on TOPSIS technique of ordering of alternatives transitioning from real numbers to fuzzy set and further to the intuitionistic fuzzy set information.