Semi-analytical methods for solving non-linear differential equations: a review
This article develops a new semi-analytical technique based on the homotopy analysis
approach for solving linear or non-linear differential equations and the results are compared …
approach for solving linear or non-linear differential equations and the results are compared …
[PDF][PDF] BEYOND LAPLACE AND FOURIER TRANSFORMS Challenges and Future Prospects.
Laplace and Fourier transforms are widely used independently in engineering for linear
differential equations including fractional differential equations. Here we introduce a …
differential equations including fractional differential equations. Here we introduce a …
An exact analytical solution of the Emden–Chandrasekhar equation for self-gravitating isothermal gas spheres in the theory of stellar structures
This article proposes an analytical solution for the Emden–Chandrasekhar equation (ECE)
that model polytropic stellar structure in astrophysics. The mathematical approach is based …
that model polytropic stellar structure in astrophysics. The mathematical approach is based …
Homotopy perturbation method and its convergence analysis for nonlinear collisional fragmentation equations
The exploration of collisional fragmentation pheno-mena remains largely unexplored, yet it
holds considerable importance in numerous engineering and physical processes. Given the …
holds considerable importance in numerous engineering and physical processes. Given the …
Unsteady squeezing flow of Casson fluid with magnetohydrodynamic effect and passing through porous medium
An unsteady squeezing flow of Casson fluid having magnetohydrodynamic (MHD) effect and
passing through porous medium channel is modeled and investigated. Similarity …
passing through porous medium channel is modeled and investigated. Similarity …
Analytical approach for solving population balances: a homotopy perturbation method
In the present work, a new approach is proposed for finding the analytical solution of
population balances for aggregation and fragmentation process. This approach is relying on …
population balances for aggregation and fragmentation process. This approach is relying on …
Haar wavelet collocation method for solving singular and nonlinear fractional time-dependent Emden–Fowler equations with initial and boundary conditions
In this paper, we have applied an iterative method to the singular and nonlinear fractional
partial differential of Emden–Fowler equations types. Haar wavelets operational matrix of …
partial differential of Emden–Fowler equations types. Haar wavelets operational matrix of …
An optimal sixth‐order quartic B‐spline collocation method for solving Bratu‐type and Lane‐Emden–type problems
This paper is concerned with the numerical solutions of Bratu‐type and Lane‐Emden–type
boundary value problems, which describe various physical phenomena in applied science …
boundary value problems, which describe various physical phenomena in applied science …
Numerical study of astrophysics equations by meshless collocation method based on compactly supported radial basis function
In this paper, we propose compactly supported radial basis functions for solving some well-
known classes of astrophysics problems categorized as non-linear singular initial ordinary …
known classes of astrophysics problems categorized as non-linear singular initial ordinary …
Solution of Lane‐Emden Type Equations by Combination of the Spectral Method and Adomian Decomposition Method
SG Hosseini, S Abbasbandy - Mathematical Problems in …, 2015 - Wiley Online Library
The application of a new modified Adomian decomposition method for obtaining the analytic
solution of Lane‐Emden type equations is investigated. The proposed method, called the …
solution of Lane‐Emden type equations is investigated. The proposed method, called the …