Modified Reduced Differential Transform Method for Partial Differential-Algebraic Equations
Copyright policy )Modified Reduced Differential Transform Method for Partial Differential-Algebraic Equations
This work presents the application of the reduced differential transform method (RDTM) to find solutions of partial differential-algebraic equations (PDAEs). Two systems of index-two and index-three are solved to show that RDTM can provide analytical solutions for PDAEs in convergent series form. In addition, we present the posttreatment of the power series solutions with the Laplace-Padé resummation method as a useful technique to find exact solutions. The main advantage of the proposed technique is that it is based on a few straightforward steps and does not generate secular terms or depend on a perturbation parameter.
- Higher Colleges of Technology United Arab Emirates
- Universidad Veracruzana Mexico
- National Institute of Astrophysics, Optics and Electronics Mexico
Algebraic number, Convergent series, Laplace transform, Nonlinear higher-order PDEs, Mathematical analysis, Quantum mechanics, Numerical Methods for Singularly Perturbed Problems, Numerical Integration Methods for Differential Equations, Differential Equations, QA1-939, FOS: Mathematics, Series (stratigraphy), Parameter-Robust Methods, Reaction-Diffusion Equations, Logarithm, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, Biology, Anomalous Diffusion Modeling and Analysis, Laplace transform applied to differential equations, Numerical Analysis, Physics, Paleontology, Power series, Partial differential equation, Applied mathematics, Modeling and Simulation, Physical Sciences, Nonlinear system, Series solutions to PDEs, Resummation, Mathematics, Algebraic equation
Algebraic number, Convergent series, Laplace transform, Nonlinear higher-order PDEs, Mathematical analysis, Quantum mechanics, Numerical Methods for Singularly Perturbed Problems, Numerical Integration Methods for Differential Equations, Differential Equations, QA1-939, FOS: Mathematics, Series (stratigraphy), Parameter-Robust Methods, Reaction-Diffusion Equations, Logarithm, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, Biology, Anomalous Diffusion Modeling and Analysis, Laplace transform applied to differential equations, Numerical Analysis, Physics, Paleontology, Power series, Partial differential equation, Applied mathematics, Modeling and Simulation, Physical Sciences, Nonlinear system, Series solutions to PDEs, Resummation, Mathematics, Algebraic equation
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