Applied Algebraic and Differential Calculus

ISBN-13: 9781774691793 / Angielski / Twarda / 2021 / 461 str.

Olga Moreira

Spis treści

• 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 Wavelet Method for Solving Differential Equations
• Chapter 6 Solution of Fractional Differential Equation Systems and Computation of Matrix Mittag–Leffler Functions
• Chapter 7 Computation 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 Lyapunov 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 Schrödinger Equation with an Inverse Square Potential on Spherical Domain
• Chapter 11 Solving Fractional Differential Equations by Using Triangle Neural Network
• Chapter 12 A Novel Improved Extreme Learning Machine Algorithm in Solving Ordinary Differential Equations by Legendre Neural Network Methods
• Chapter 13 Bifurcation Theory of Dynamical Chaos
• Chapter 14 Bifurcation Analysis in a Two-Dimensional Neutral Differential Equation
• Chapter 15 Observations on the Computation of Eigenvalue and Eigenvector Jacobians
• Chapter 16 A Note on Some Nonlinear Principal Eigenvalue Problems
• 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