Applied algebraic and differential calculus / Edited by : Olga Moreira.

Includes index.

Chapter 1. The eight epochs of math as regards past and future matrix computations.--Chapter 2. Solving second-order differential equations by decomposition.--Chapter 3. Decomposition of ordinary differential equations.--Chapter 4. Solution of nonlinear partial differential equations by mixture Adomian decomposition method and Sumudu transform.--Chapter 5. Higher order haar waelet method for solving differential equations.--Chapter 6. Solution of fractional differential equations systems and computation of matrix Mittag-leffler function.--Chapter 7. Compuation of gram matrix and its partial derivative using precise integration method for linear time-invariant systems.—Chapter 8. Matrix iteration algorithms for solving the generalized Lypanuv matrix equation.—Chapter 9. A brief summary of the finite element method for differential equations.—Chapter 10. An efficient finite element method and error analysis for Eigenvalue problem of Schorodinger equation with an inverse square.--Chapter 11. Solving fractional differential equation by using triangle neutral network.--Chapter 12. A novel improved extreme learning machine algorithm in solving ordinary differential equations by Legendre neutral network methods.--Chapter 13. Bifurcation theory of dynamical chaos.--Chapter 14. Bifurcation analysis in a two-dimensional neutral differential equation.--Chapter 15. Observation on the computation of Eigenvalue and Eigenvector Jacobians.--Chapter 16. A note some nonlinear principal Eigenvalue.--Chapter 17. Eigenvalue criteria for existence of positive solutions to fractional boundary value problem.--Chapter 18. Boundary value problems of nonlinear mixed-type fractional differential equations.