Adomian decomposition method for first order PDEs with unprescribed data

In this paper we like to explore the full power of Adomian decomposition method (ADM), specially its symbolic capability. We will demonstrate the standard ADM and ADM with integration factor to compute explicit closed form solutions of first order scalar partial differential equations with unprescri...

Full description

Bibliographic Details
Published in:	Alexandria Engineering Journal
Main Authors:	Tzon-Tzer Lu, Wei-Quan Zheng
Format:	Article
Language:	English
Published:	Elsevier 2021-04-01
Subjects:	35C05 35F10 35F25 40C15 35B30
Online Access:	http://www.sciencedirect.com/science/article/pii/S1110016820306682

Similar Items

Numerical schemes for studying biomathematics model inherited with memory-time and delay-time
by: Imad Jaradat, et al.
Published: (2020-10-01)

Diverse solitary wave solutions of fractional order Hirota-Satsuma coupled KdV system using two expansion methods
by: H.M. Shahadat Ali, et al.
Published: (2023-03-01)

New topological and non-topological unidirectional-wave solutions for the modified-mixed KdV equation and bidirectional-waves solutions for the Benjamin Ono equation using recent techniques
by: Marwan Alquran, et al.
Published: (2022-04-01)

Study of exact analytical solutions and various wave profiles of a new extended (2+1)-dimensional Boussinesq equation using symmetry analysis
by: Sachin Kumar, et al.
Published: (2022-10-01)

Abundant analytical soliton solutions and different wave profiles to the Kudryashov-Sinelshchikov equation in mathematical physics
by: Sachin Kumar, et al.
Published: (2022-12-01)

Specific wave profiles and closed-form soliton solutions for generalized nonlinear wave equation in (3+1)-dimensions with gas bubbles in hydrodynamics and fluids
by: Sachin Kumar, et al.
Published: (2023-01-01)

Abundant closed-form wave solutions and dynamical structures of soliton solutions to the (3+1)-dimensional BLMP equation in mathematical physics
by: Sachin Kumar, et al.
Published: (2022-04-01)

Diverse soliton wave profile assessment to the fractional order nonlinear Landau-Ginzburg-Higgs and coupled Boussinesq-Burger equations
by: Anamika Podder, et al.
Published: (2024-10-01)

Investigating traveling wave structures in the van der Waals normal form for fluidized granular matter through the modified S-expansion method
by: Hamida Parvin, et al.
Published: (2025-09-01)

On new computational and numerical solutions of the modified Zakharov–Kuznetsov equation arising in electrical engineering
by: Choonkil Park, et al.
Published: (2020-06-01)

Investigation of new solitary stochastic structures to the Heisenberg ferromagnetic spin chain model via a Stratonovich sense
by: Md. Nur Alam
Published: (2025-03-01)

Study of the parametric effect of the wave profiles of the time-space fractional soliton neuron model equation arising in the topic of neuroscience
by: Md. Nur Alam, et al.
Published: (2024-12-01)

The agreement between novel exact and numerical solutions of nonlinear models
by: Md. Nur Alam, et al.
Published: (2023-12-01)

Traveling wave solutions of Benny Luke equation via the enhanced (G'/G)-expansion method
by: A.K.M. Kazi Sazzad Hossain, et al.
Published: (2021-12-01)

Stability for the Erdős-Rothschild problem
by: Oleg Pikhurko, et al.
Published: (2023-01-01)

On similarity solutions to (2+1)-dispersive long-wave equations
by: Raj Kumar, et al.
Published: (2023-03-01)

Analytical behavior of weakly dispersive surface and internal waves in the ocean
by: Mohammad Asif Arefin, et al.
Published: (2022-08-01)

New dynamical soliton propagation of fractional type couple modified equal-width and Boussinesq equations
by: M. Ayesha Khatun, et al.
Published: (2022-12-01)

Investigation of adequate closed form travelling wave solution to the space-time fractional non-linear evolution equations
by: Mohammad Asif Arefin, et al.
Published: (2022-06-01)

Abundant stable computational solutions of Atangana–Baleanu fractional nonlinear HIV-1 infection of CD4+ T-cells of immunodeficiency syndrome
by: Mostafa M.A. Khater, et al.
Published: (2021-03-01)

Moving Taylor series for solving one-dimensional one-phase Stefan problem
by: A. Elsaid, et al.
Published: (2022-09-01)

A heterogeneous continuous age-structured model of mumps with vaccine
by: Nurbek Azimaqin, et al.
Published: (2025-03-01)

Novel computational and accurate numerical solutions of the modified Benjamin–Bona–Mahony (BBM) equation arising in the optical illusions field
by: Mostafa M.A. Khater, et al.
Published: (2021-02-01)

Semi–analytical and numerical simulations of the modified Benjamin–Bona–Mahony model
by: Mostafa M.A. Khater, et al.
Published: (2022-06-01)

On extremal numbers of the triangle plus the four-cycle
by: Jie Ma, et al.
Published: (2025-01-01)

Exact solutions to the Erdős-Rothschild problem
by: Oleg Pikhurko, et al.
Published: (2024-01-01)

On determining and breaking the gauge class in inverse problems for reaction-diffusion equations
by: Yavar Kian, et al.
Published: (2024-01-01)

Elliptic Pre-Complexes, Hodge-like Decompositions and Overdetermined Boundary-Value Problems
by: Raz Kupferman, et al.
Published: (2025-01-01)

Generalized Ramsey–Turán density for cliques
by: Jun Gao, et al.
Published: (2025-01-01)

The contributions of foreign aid and natural resource wealth to democratic institutions: Evidence from over 40 years of sub-Sahara Africa's history
by: Alex O. Acheampong, et al.
Published: (2024-01-01)

Solitary wave solutions for the originating waves that propagate of the fractional Wazwaz-Benjamin-Bona-Mahony system
by: Asghar Ali, et al.
Published: (2023-04-01)

GLOBAL NEARLY-PLANE-SYMMETRIC SOLUTIONS TO THE MEMBRANE EQUATION
by: LEONARDO ABBRESCIA, et al.
Published: (2020-01-01)

Functorial Fast-Growing Hierarchies
by: J. P. Aguilera, et al.
Published: (2024-01-01)

The Hopf Lemma for the Schrödinger Operator
by: Ponce Augusto C., et al.
Published: (2020-05-01)

Extremal, enumerative and probabilistic results on ordered hypergraph matchings
by: Michael Anastos, et al.
Published: (2025-01-01)

Smooth imploding solutions for 3D compressible fluids
by: Tristan Buckmaster, et al.
Published: (2025-01-01)

Global boundedness of a class of multilinear Fourier integral operators
by: Salvador Rodríguez-López, et al.
Published: (2021-01-01)

Axisymmetric Incompressible Viscous Plasmas: Global Well-Posedness and Asymptotics
by: Diogo Arsénio, et al.
Published: (2024-01-01)

Infinitely many free or prescribed mass solutions for fractional Hartree equations and Pohozaev identities
by: Cingolani Silvia, et al.
Published: (2024-03-01)

Periodic solutions for a coupled system of wave equations with x-dependent coefficients
by: Deng Jiayu, et al.
Published: (2024-06-01)