Keywords: مشکلات ارزش مرزی منحصر به فرد; 65L10; 65L60; 34B16; Singular boundary value problems; Optimal quartic B-spline collocation; Convergence analysis; Error estimation; Equilibrium of the isothermal gas sphere; Thermal explosion;
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Keywords: مشکلات ارزش مرزی منحصر به فرد; Computational method; Bernstein operational matrices; Nonlinear differential equations; Singular boundary value problems;
Keywords: مشکلات ارزش مرزی منحصر به فرد; Adaptive cubic B-spline collocation method; Modified decomposition method; Singular boundary value problems; Rate of convergence; Patching technique;
Keywords: مشکلات ارزش مرزی منحصر به فرد; Patching method; Variational iterative method; Spline collocation; Singular boundary value problems
Haar wavelet collocation method for Lane-Emden equations with Dirichlet, Neumann and Neumann-Robin boundary conditions
Keywords: مشکلات ارزش مرزی منحصر به فرد; 34B15; 34B27; 34B05; 65L10; 65L80; Lane-Emden equations; Singular boundary value problems; Haar wavelet collocation method; Poisson's equation; Neumann and Neumann-Robin boundary conditions;
On singular BVPs with nonsmooth data: Analysis of the linear case with variable coefficient matrix
Keywords: مشکلات ارزش مرزی منحصر به فرد; Linear systems of ordinary differential equations; Singular boundary value problems; Time singularity of the first kind; Nonsmooth inhomogeneity;
Approximate analytical solutions for a shrinking core model for the discharge of a lithium iron-phosphate electrode by the Adomian decomposition method
Keywords: مشکلات ارزش مرزی منحصر به فرد; Partial differential equations; Moving boundary problems; Shrinking core model; Singular boundary value problems; Adomian decomposition method
Wavelet analysis method for solving linear and nonlinear singular boundary value problems
Keywords: مشکلات ارزش مرزی منحصر به فرد; Chebyshev wavelet; Ordinary differential equations; Singular boundary value problems; Operational matrix; Product operation matrix; Shifted Chebyshev polynomials
Density profile equation with p-Laplacian: Analysis and numerical simulation
Keywords: مشکلات ارزش مرزی منحصر به فرد; Singular boundary value problems; Nonlinear ordinary differential equations; Degenerate Laplacian; Collocation methods; Shooting methods
The Liouville–Neumann expansion in singular eigenvalue problems
Keywords: مشکلات ارزش مرزی منحصر به فرد; Second-order linear differential equations; Singular boundary value problems; Volterra integral equations; Liouville–Neumann expansion
A new analytical and numerical treatment for singular two-point boundary value problems via the Adomian decomposition method
Keywords: مشکلات ارزش مرزی منحصر به فرد; Adomian decomposition method; Thomas–Fermi equation; Singular boundary value problems
Periodic BVPs in ODEs with time singularities
Keywords: مشکلات ارزش مرزی منحصر به فرد; Singular boundary value problems; Periodic boundary conditions; Time singularity of the first kind; Lower and upper functions; Opposite order; Collocation methods
A novel approach for the solution of a class of singular boundary value problems arising in physiology
Keywords: مشکلات ارزش مرزی منحصر به فرد; Singular boundary value problems; Cubic B-spline collocation; Decomposition method; Physiology applications
Solving singular boundary value problems of higher-order ordinary differential equations by modified Adomian decomposition method
Keywords: مشکلات ارزش مرزی منحصر به فرد; 02.60.LjAdomian decomposition method; Singular boundary value problems; Higher-order ordinary differential equation
A note on the use of modified Adomian decomposition method for solving singular boundary value problems of higher-order ordinary differential equations
Keywords: مشکلات ارزش مرزی منحصر به فرد; 02.60.LjAdomian decomposition method; Singular boundary value problems; High-order ordinary differential equation; Linear and non-linear ordinary differential equation
Multiple positive solutions of the singular boundary value problems for second-order differential equations on the half-line
Keywords: مشکلات ارزش مرزی منحصر به فرد; 34B16; 34B18; 34B40; 47H11Positive solutions; Singular boundary value problems; Fixed point index; Half-line
Positive solutions of nonresonance semipositone singular Dirichlet boundary value problems
Keywords: مشکلات ارزش مرزی منحصر به فرد; 34B15; 34B25; Singular boundary value problems; Semipositone; Positive solutions; Nonresonance; Superlinear; Sublinear;
Positive solutions of singular boundary value problems for systems of nonlinear fourth order differential equations
Keywords: مشکلات ارزش مرزی منحصر به فرد; 34B15; 39A10Positive solutions; Systems of fourth order differential equations; Singular boundary value problems
Positive solutions of fourth-order four-point boundary value problems with p-Laplacian operator
Keywords: مشکلات ارزش مرزی منحصر به فرد; p-Laplacian operator; Singular boundary value problems; Fixed-point theorem; Positive solution
Nontrivial solutions of singular two-point boundary value problems with sign-changing nonlinear terms
Keywords: مشکلات ارزش مرزی منحصر به فرد; Singular boundary value problems; Nontrivial solution; Cone; Leray–Schauder degree
The existence of countably many positive solutions for a system of nonlinear singular boundary value problems with the p-Laplacian operator
Keywords: مشکلات ارزش مرزی منحصر به فرد; p-Laplacian operator; Singular boundary value problems; Fixed-point theorem; Positive solution;
A necessary and sufficient condition for the existence of positive solutions of singular boundary value problems
Keywords: مشکلات ارزش مرزی منحصر به فرد; 34B15; 34B25; Singular boundary value problems; Positive solutions; Fixed point theorems;