Applied algebraic and differential calculus / edited by Olga Moreira.

Includes bibliographical references and index

The eight epochs of math as regards past and future matrix computations -- Solving second-order differential equations by decomposition -- Decomposition of ordinary differential equations -- Solution of nonlinear partial differential equations by mixture Adomian decomposition method and Sumudu transform -- Higher order Haar wavelet method for solving differential equations -- Solution of fractional differential equation systems and computation of matrix mittag-leffler functions -- Computation of gram matrix and its partial derivatve using precise integration method for linear time-invariant systems -- Matrix iteration algorithms for solving the generalized lyapunov matrix equation -- A brief summary of the finite element method for differential equations -- An efficient finite element method and error analysis for eigenvalue problem of schrodinger equation with an inverse square potential on spherical domain -- Solving fractional differential equations by using triangle neural network -- A novel improved extreme learning machine algorithm in solving ordinary differential equations by legendre neural network methodology -- Bifurcation theory of dynamical chaos -- Bifurcation analysis in a two-dimensional neutral differential equation -- Observations on the computation of eigenvalue and eigenvector Jacobians -- A note on some nonlinear principal eigenvalue problems -- Eigenvalue criteria existence of positive solutions to fractional boundary value problem -- Boundary value problems of nonlinear mixed-type fractional differential equations