Numerical Solution of Fractional Partial Differential-Algebraic Equation by Adomian Decomposition Method and Multivariate Pade Approximation

References (25)

1. 1 An Introduction to the Fractional Calculus and Fractional Differential Equations
2. 2 Fractional Differential Equations - An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of their Solution and some of their Applications [DOI]
3. 3 Linear Models of Dissipation whose Q is almost Frequency Independent--II [DOI]
4. 4 The ()-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics [DOI]
5. 5 A review of the decomposition method in applied mathematics [DOI]
6. 6 A new algorithm for calculating adomian polynomials for nonlinear operators [DOI]
7. 7 A new modification of the Adomian decomposition method for linear and nonlinear operators [DOI]
8. 8 Analytical approximate solutions for nonlinear fractional differential equations [DOI]
9. 9 An approximate solution of a nonlinear fractional differential equation by Adomian decomposition method [DOI]
10. 10 Application of He’s variational iteration method and Adomian’s decomposition method to the fractional KdV–Burgers–Kuramoto equation [DOI]
11. 11 Nonlinear Methods in Numerical Analysis. [DOI]
12. 12 Approximate solutions for boundary value problems of time-fractional wave equation [DOI]
13. 13 Numerical approximations and Padé approximants for a fractional population growth model [DOI]
14. 14 New extended (G’/G)-expansion method to solve nonlinear evolution equation: the (3 + 1)-dimensional potential-YTSF equation [DOI]
15. 15 On solving Partial Differential Equations of Fractional Order by Using the Variational Iteration Method and Multivariate Padé Approximations
16. 16 Revised Adomian decomposition method for solving systems of ordinary and fractional differential equations [DOI]
17. 17 Multivariate Padé approximation [DOI]
18. 18 Numerical comparison of methods for solving fractional differential–algebraic equations (FDAEs) [DOI]
19. 19 Traveling wave solutions of the Boussinesq equation via the new approach of generalized (G′/G)-expansion method [DOI]
20. 20 Application of He's variational iteration method and Adomian's decomposition method to Sawada-Kotera-Ito seventh-order equation [DOI]
21. 21 APPLICATION OF He's VARIATIONAL ITERATION METHOD AND ADOMIAN'S DECOMPOSITION METHOD TO PROCHHAMMER–CHREE EQUATION [DOI]
22. 22 On the Convergence of General Order Multivariate Padé-Type Approximants [DOI]
23. 23 The Numerical Solution of Partial Differential-Algebraic Equations (PDAEs) By Multivariate Pade Approximation
24. 24 Geometric and Physical Interpretation of Fractional Integration and Fractional Differentiation [DOI]
25. 25 Fractional Calculus: Some Basic Problems in Continuum and Statistical Mechanics [DOI]

Cited by 6

Showing 3 of 6 known citations — external sources report more than can currently be individually listed.

Related research

• A Solution of Infiltration Problem Arising in Farmland Drainage Using Adomian Decomposition Method — shares topic coverage
• Cubic B-Spline Collocation and Adomian Decomposition Methods on 4th Order Multi-point Boundary Value Problems — shares topic coverage
• Numerical Solution of Fourth Order Linear Differential Equations by Adomian Decomposition Method — shares topic coverage
• A Substitution Method for Partial Differential Equations Using Ramadan Group Integral Transform — shares topic coverage
• Solution of Heat and Wave – Like Equations by Adomian Decomposition Sumudu Transform Method — shares topic coverage