title: Nature inspired computational technique for the numerical solution of nonlinear singular boundary value problems arising in physiology.
abstract: We present a hybrid heuristic computing method for the numerical solution of nonlinear singular boundary value problems arising in physiology. The approximate solution is deduced as a linear combination of some log sigmoid basis functions. A fitness function representing the sum of the mean square error of the given nonlinear ordinary differential equation (ODE) and its boundary conditions is formulated. The optimization of the unknown adjustable parameters contained in the fitness function is performed by the hybrid heuristic computation algorithm based on genetic algorithm (GA), interior point algorithm (IPA), and active set algorithm (ASA). The efficiency and the viability of the proposed method are confirmed by solving three examples from physiology. The obtained approximate solutions are found in excellent agreement with the exact solutions as well as some conventional numerical solutions.
authors.affiliation: Department of Electronic Engineering, Faculty of Engineering and Technology, International Islamic University, Islamabad, Pakistan.
authors.forename: Suheel Abdullah
authors.initials: SA
authors.lastname: Malik
authors.affiliation: Department of Electrical Engineering, Air University, Islamabad, Pakistan.
authors.forename: Ijaz Mansoor
authors.initials: IM
authors.lastname: Qureshi
authors.affiliation: Department of Electronic Engineering, Faculty of Engineering and Technology, International Islamic University, Islamabad, Pakistan.
authors.forename: Muhammad
authors.identifier: 0000-0003-3238-0434
authors.initials: M
authors.lastname: Amir
authors.affiliation: Department of Electronic Engineering, Faculty of Engineering and Technology, International Islamic University, Islamabad, Pakistan.
authors.forename: Ihsanul
authors.initials: I
authors.lastname: Haq
mesh_terms: D000465:Algorithms; D017711:Nonlinear Dynamics; D010827:Physiology