Search Results - "INITIAL value problems"

Analysis of chaotic dynamics initial and boundary value problem for the viscous van Wijngaarden-Eringen model.

Authors: Nafia, E. Taqbibt, A. Elomari, M.

Source: Dynamical Systems: An International Journal. Oct2025, p1-18. 18p.

Subject Terms: *CHAOS theory, INITIAL value problems, ACOUSTIC wave propagation, TOPOLOGICAL dynamics, CAVITATION, BOUNDARY value problems

A New Unconditionally Stable Second Order of Accuracy Difference Scheme for the Time Delay Telegraph Equation.

Authors: Ashyralyev, Allaberen Agirseven, Deniz Turk, Koray

Source: Mathematical Methods in the Applied Sciences. Dec2025, Vol. 48 Issue 18, p16540-16551. 12p.

Subject Terms: *INITIAL value problems, *HILBERT space, *PARTIAL differential equations, *FINITE difference method, *STABILITY theory, *ROBUST stability analysis, *EMPIRICAL research, *ITERATIVE methods (Mathematics)

Explicit solution of Lane-Emden type equations via a novel recurrence and Padé approximation approach.

Authors: Charkrit, Sita¹ (AUTHOR) sita@mju.ac.th

Source: Applied Numerical Mathematics. Dec2025, Vol. 218, p159-181. 23p.

Subject Terms: *INITIAL value problems, *LANE-Emden equation, *PADE approximant, *POLYNOMIALS, *ALGORITHMS

Blow‐Up Phenomenon for a Pseudo‐Parabolic Equation With Positive Initial Energy.

Authors: Baghaei, Khadijeh¹ (AUTHOR) khadijeh.baghaei@piais.ir

Source: Mathematical Methods in the Applied Sciences. 11/15/2025, Vol. 48 Issue 16, p15364-15371. 8p.

Subject Terms: *INITIAL value problems, *PARTIAL differential equations, *MATHEMATICAL analysis, *FORCE & energy, *MATHEMATICAL singularities, *SCIENTIFIC method

Piecewise-Analytical Approximation Methods for Initial-Value Problems of Nonlinear, Ordinary Differential Equations: Part 2.

Authors: Ramos, Juan I.¹ (AUTHOR)

Source: Mathematics (2227-7390). Nov2025, Vol. 13 Issue 21, p3470. 24p.

Subject Terms: *TAYLOR'S series, *INITIAL value problems, *DIFFERENCE equations, *STABILITY theory, *RICCATI equation, *APPROXIMATION algorithms, *NONLINEAR differential equations

Numerical scheme for the solution of the "bad" Boussinesq equation.

Authors: Charlier, Christophe Eriksson, Daniel Lenells, Jonatan

Source: Applied Numerical Mathematics. Nov2025, Vol. 217, p216-233. 18p.

Subject Terms: *BOUSSINESQ equations, *INITIAL value problems, *MATHEMATICAL models, *ERROR analysis in mathematics, *NUMERICAL analysis, *SOLITONS, *FINITE element method, *ASYMPTOTIC analysis

Decay estimates of global solutions for the three-dimensional magnetohydrodynamics equations with horizontal dissipation in a half space.

Authors: Li, Xiao¹ (AUTHOR) lixiao2023@email.szu.edu.cn

Source: Boundary Value Problems. 10/31/2025, Vol. 2025 Issue 1, p1-46. 46p.

Subject Terms: *MAGNETOHYDRODYNAMICS, *INITIAL value problems, *MATHEMATICAL analysis, *STABILITY theory, *ENERGY dissipation

A fourth order wave equation with acoustic boundary conditions: asymptotic behavior and blow-up in finite time.

Authors: Imad, Aimene Boumaza, Nouri Gheraibia, Billel et al.

Source: Boundary Value Problems. 10/31/2025, Vol. 2025 Issue 1, p1-17. 17p.

Subject Terms: *WAVE equation, *INITIAL value problems, *ACOUSTIC wave propagation, *EXPONENTIAL decay law, *DAMPING (Mechanics)

High-Accuracy Spectral-like Legendre–Darboux Method for Initial Value Problems.

Authors: Alomari, Mohammad W.¹ (AUTHOR)

Source: Mathematics (2227-7390). Oct2025, Vol. 13 Issue 20, p3319. 35p.

Subject Terms: *INITIAL value problems, *TIME integration scheme, *SPECTRAL theory, *STATISTICAL accuracy, *RUNGE-Kutta formulas, *ITERATIVE methods (Mathematics), *LEGENDRE'S polynomials, *STABILITY (Mechanics)

DEVELOPING THE LIMIT-RESIDUAL FUNCTION METHOD FOR PROVIDING APPROXIMATE SOLUTIONS TO INITIAL AND BOUNDARY-VALUE PROBLEMS.

Authors: EL-AJOU, AHMAD¹ (AUTHOR) ajou42@yahoo.com

Source: Fractals. Oct2025, p1. 14p.

Subject Terms: *INITIAL value problems, *BOUNDARY value problems, *ERROR analysis in mathematics, *MATHEMATICAL functions, *DIFFERENTIAL equations, *NUMERICAL analysis

On the First Initial-Boundary Value Problem for Parabolic Systems in a Bounded Domain with Curvilinear Lateral Boundaries.

Authors: Baderko, E. A. Fedorov, K. D.

Source: Computational Mathematics & Mathematical Physics. Oct2025, Vol. 65 Issue 10, p2376-2389. 14p.

Subject Terms: *INITIAL value problems, *BOUNDARY value problems, *INTEGRALS, *EVOLUTION equations, *HIGH-order derivatives (Mathematics), *MATHEMATICAL domains

Well‐Posedness and Relaxation Limit for Relaxed Compressible Fluid Equations in Bounded Domains.

Authors: Hu, Yuxi Zhao, Xiaoning

Source: Mathematical Methods in the Applied Sciences. Oct2025, p1. 28p.

Subject Terms: *COMPRESSIBLE flow, *INITIAL value problems, *UNIQUENESS (Mathematics), *MAXWELL equations, *PHYSICAL laws, *MATHEMATICAL analysis

The Implicit Phase-Fitted and Amplification-Fitted Four-Point Block Methods for Oscillatory First-Order Problems.

Authors: Alharthi, Nadiyah Hussain Kaur, Anurag Simos, Theodore E. et al.

Source: Mathematics (2227-7390). Oct2025, Vol. 13 Issue 19, p3151. 44p.

Subject Terms: *OSCILLATIONS, *INITIAL value problems, *NUMERICAL analysis, *ITERATIVE methods (Mathematics), *EMPIRICAL research, *STABILITY theory

Blow-up results for a fourth-order parabolic equation modeling thin-film growth with logarithmic nonlinearity.

Authors: Zhang, Wei Zhang, Jialing

Source: Zeitschrift für Angewandte Mathematik und Physik (ZAMP). Oct2025, Vol. 76 Issue 5, p1-21. 21p.

Subject Terms: *BOUNDARY value problems, *INITIAL value problems, *POTENTIAL well, *THRESHOLD energy, *BLOWING up (Algebraic geometry), *EQUATIONS

Global Boundedness in a Chemotaxis System Involving Signal-Dependent Motility and Indirect Signal Consumption.

Authors: Wu, Chun¹ (AUTHOR) wuchun@cqnu.edu.cn

Source: Acta Applicandae Mathematicae. 10/1/2025, Vol. 199 Issue 1, p1-16. 16p.

Subject Terms: *CHEMOTAXIS, *INITIAL value problems, *MATHEMATICAL analysis, *NEUMANN boundary conditions

Separation of the Initial Conditions in the Inverse Problem for One‐Dimensional Nonlinear Tsunami Wave Run‐Up Theory.

Authors: Rybkin, Alexei Bobrovnikov, Oleksandr Palmer, Noah et al.

Source: Studies in Applied Mathematics. May2025, Vol. 154 Issue 5, p1-7. 7p.

Subject Terms: INITIAL value problems, INVERSE problems, INTEGRAL transforms, NONLINEAR wave equations, SUBMARINE topography, MATHEMATICAL transformations, THEORY of wave motion, NUMERICAL analysis

Application of Variable Step‐Size Hybrid Methods for Solving Third‐Order Lane‐Emden Equations.

Authors: Ajani Rufai, Mufutau Tran, Thanh Carpentieri, Bruno et al.

Source: Mathematical Methods in the Applied Sciences. 9/30/2025, Vol. 48 Issue 14, p13854-13863. 10p.

Subject Terms: *LANE-Emden equation, *INITIAL value problems, *ITERATIVE methods (Mathematics), *ERROR analysis in mathematics, *NUMERICAL analysis, *APPLIED mathematics

General Runge–Kutta–Nyström Methods for Linear Inhomogeneous Second-Order Initial Value Problems.

Authors: Alharthi, Nadiyah Hussain Alqahtani, Rubayyi T. Simos, Theodore E. et al.

Source: Mathematics (2227-7390). Sep2025, Vol. 13 Issue 17, p2826. 18p.

Subject Terms: *INITIAL value problems, *NUMERICAL integration, *NUMERICAL analysis, *STATISTICAL accuracy, *RUNGE-Kutta formulas, *COMPUTER performance

Asymptotics for the inviscid rotating stably stratified Boussinesq equations in a 3D layer.

Authors: Kim, Junha Ohyama, Hiroki Takada, Ryo

Source: Nonlinearity. Sep2025, Vol. 38 Issue 9, p1-41. 41p.

Subject Terms: *BOUSSINESQ equations, *INITIAL value problems, *THREE-dimensional flow, *ASYMPTOTIC analysis, *BUOYANCY, *STRATIFIED flow

Upper bounds of blowup time for nonlinear extensible beam equations.

Authors: Pang, Tiantian Wang, Zhenshan Wu, Weipeng

Source: Electronic Research Archive. 2025, Vol. 33 Issue 9, p1-18. 18p.

Subject Terms: *BOUNDARY value problems, *INITIAL value problems, *DIFFERENTIAL inequalities, *ENERGY levels (Quantum mechanics), *CONCAVE functions