Applied Algebraic and Differential Calculus
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Applied Algebraic and Differential Calculus

Applied Algebraic and Differential Calculus

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About the Book

Applied Algebraic and Differential Calculus is an edited book consisting of 18 open-access articles on mathematical analysis and computational methodologies for solving differential equations, as well as matrix eigenvalue, boundary value, and bifurcation problems. It includes a variety of algebraic and numerical strategies from decomposition to neural network based methods. Reading this book requires some knowledge in advanced calculus, differential equations, matrix computations. This book is intended to reach an academic audience ranging from graduate student to experienced researchers.

Table of Contents:
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


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Product Details
  • ISBN-13: 9781774691793
  • Publisher: Arcler Press
  • Publisher Imprint: Arcler Press
  • Height: 229 mm
  • No of Pages: 461
  • Weight: 982 gr
  • ISBN-10: 1774691795
  • Publisher Date: 30 Dec 2021
  • Binding: Hardback
  • Language: English
  • Returnable: Y
  • Width: 152 mm


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