Bio-inspired computing platform for reliable solution of Bratu-type equations arising in the modeling of electrically conducting solids

DOI10.1016/j.apm.2016.01.034zbMath1465.65061OpenAlexW2281256618WikidataQ57600113 ScholiaQ57600113MaRDI QIDQ2291005

Elyas Shivanian, Raza Samar, Muhammad Asif Zahoor Raja, Eman S. Al-Aidarous

Publication date: 29 January 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2016.01.034

zbMATH Keywords

neural networksgenetic algorithmshybrid techniquesnonlinear ODEsactive-set methodone-dimensional Bratu equations

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (22)

An advancement approach of Haar wavelet method and Bratu-type equations ⋮ Block Nyström type integrator for Bratu's equation ⋮ Block hybrid third derivative Nyström type method for Bratu's equation ⋮ Dynamics of nonlinear cantilever piezoelectric-mechanical system: an intelligent computational approach ⋮ An iterative technique based on HPM for a class of one dimensional Bratu's type problem ⋮ An efficient iterative method for solving Bratu-type equations ⋮ An iterative technique for a class of Dirichlet nonlinear BVPs: Troesch's problem ⋮ An efficient approach of homotopic asymptotic for system differential equations of non integer order ⋮ Performance of Genocchi wavelet neural networks and least squares support vector regression for solving different kinds of differential equations ⋮ A method for solving nonlinear Volterra's population growth model of noninteger order ⋮ An optimal method for approximating the delay differential equations of noninteger order ⋮ A reliable mixed method for singular integro-differential equations of non-integer order ⋮ A new spectral collocation method for solving Bratu-type equations using Genocchi polynomials ⋮ Integrated intelligent computing with neuro-swarming solver for multi-singular fourth-order nonlinear Emden-Fowler equation ⋮ The Taylor wavelets method for solving the initial and boundary value problems of Bratu-type equations ⋮ Heuristic computing technique for numerical solutions of nonlinear fourth order Emden-Fowler equation ⋮ Unnamed Item ⋮ A novel numerical-analytical approach using FIPIM for critical eigenvalue investigation meanwhile solving the corresponding Bratu's problem ⋮ Numerical solution of Bratu's and related problems using a third derivative hybrid block method ⋮ Uniform Haar wavelet technique with Newton's method for a kind of derivative dependent SBVPs ⋮ Approximate solution for solving fractional Riccati differential equations via trigonometric basic functions ⋮ Matrix-valued Bratu equation and the exact solution of its initial value problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solving initial-boundary value problems for systems of partial differential equations using neural networks and optimization techniques
• Stochastic numerical treatment for solving Troesch's problem
• Solution of fractional order system of Bagley-Torvik equation using evolutionary computational intelligence
• Non-polynomial spline method for solving Bratu's problem
• The Lie-group shooting method for solving the Bratu equation
• A new stochastic approach for solution of Riccati differential equation of fractional order
• The Liouville-Bratu-Gelfand problem for radial operators
• The solution of unconfined seepage problem using natural element method (NEM) coupled with genetic algorithm (GA)
• New perturbation-iteration solutions for Bratu-type equations
• A new approach to Bratu's problem
• Solving an inverse heat conduction problem using genetic algorithm: sequential and multi-core parallelization approach
• Numerical treatment of nonlinear MHD Jeffery-Hamel problems using stochastic algorithms
• An algorithm for solving boundary value problems
• Genetic algorithm based wireless vibration control of multiple modal for a beam by using photostrictive actuators
• An efficient computational intelligence approach for solving fractional order Riccati equations using ANN and SQP
• Complementarity active-set algorithm for mathematical programming problems with equilibrium constraints
• The modified Broyden-variational method for solving nonlinear elliptic differential equations
• Adomian decomposition method for a reliable treatment of the Bratu-type equations
• An efficient method for solving Bratu equations
• A New Active Set Algorithm for Box Constrained Optimization
• A steepest edge active set algorithm for solving sparse linear programming problems
• Application of a Mickens finite-difference scheme to the cylindrical Bratu-Gelfand problem
• Taylor's Decomposition on two points for one-dimensional Bratu problem
• Some problems in the theory of quasilinear equations
• From the fitting techniques to accurate schemes for the Liouville-Bratu-Gelfand problem
• B-spline method for solving Bratu's problem

This page was built for publication: Bio-inspired computing platform for reliable solution of Bratu-type equations arising in the modeling of electrically conducting solids