Solution Procedure for Systems of Partial Dierential-Algebraic Equations by NHPM and Laplace-Padé Resummation
Brahim Benhammouda, Hector Vazquez-Leal, Arturo Sarmiento-Reyes
Journal of Advances in Mathematics and Computer Science · pp. 3202–3223 · Published 15 Sep 2014
10.9734/BJMCS/2014/12168Abstract
In this paper, we propose an ecient modication of a New Homotopy Perturbation Method (NHPM) to obtain approximate and exact analytical solutions of Partial Dierential-Algebraic Equations (PDAEs). The NHPM is rst applied to the PDAE to obtain the exact solution in convergent series form. To improve the solution obtained from NHPM's truncated series, a post-treatment combining Laplace transform and Pade approximant is proposed. This modied Laplace-Pade new homotopy perturbation method is shown to be eective and greatly improves NHPM's truncated series solutions in convergence rate, and often leads to the exact solution. Two problems are solved to demonstrate the eciency of the method; the rst one is a nonlinear index-one system with an integral term and the second one is a linear index-three system with variable coecients.
Cited by 0
No indexed citations yet.
Related research
- Studying the Effect of Vertical Eddy Diffusivity on the Solution of Diffusion Equation — shares topic coverage
- LHAM Approach to Fractional Order Rosenau-Hyman and Burgers' Equations — shares topic coverage
- Alenezi Transform–A New Transform to Solve Mathematical Problems — shares topic coverage
- Thermal and Quantum Properties of Nonlinear and Inverted Harmonic Oscillators in Magnetic Fields: Applications to Polyatomic Molecules — shares topic coverage
- Analytical Investigation of Energy and Mass Transport in Magnetohydrodynamic Fe₃O₄–Water Nanofluid Flow through a Chemically Reacting Porous Channel with Thermal Radiation — shares topic coverage
Article metrics
Real usage data collected on this platform.
0
Page views
0
PDF downloads
0
Outbound clicks
0
Citations
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
No views recorded yet.
Traffic sources
Referring site, by host.
No traffic recorded yet.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.