HIGINIO RAMOS

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Universidad de Salamanca

Spain

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Higinio Ramos is a Professor at Universidad de Salamanca, Spain. His research areas include numerical methods for differential equations, oscillatory behavior of noncanonical equations, and advanced iterative techniques for boundary value problems. He has contributed to various studies, including applications of hybrid methods for Lane-Emden equations and fractional PDE-based models in prosthetic implants.

HIGINIO RAMOS

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Articles (30)

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

New Asymptotic and Oscillatory Results for Third-Order Noncanonical Advanced Differential Equations

Fixed point approximation of contractive-like mappings using a stable iterative family and its dynamics via quadratic polynomials

Efficient solution of one-dimensional time-dependent partial differential equations using a multi-step block method combined with compact finite difference schemes

A Virtual Element Method for a (2+1)-Dimensional Wave Equation with Time-Fractional Dissipation on Polygonal Meshes

Efficient uniformly convergent numerical methods for singularly perturbed parabolic reaction–diffusion systems with discontinuous source term

A Fractional PDE-Based Model for Nerve Impulse Transport Solved Using a Conforming Virtual Element Method: Application to Prosthetic Implants

A Non-Standard Finite Difference Scheme for Time-Fractional Singularly Perturbed Convection–Diffusion Problems

Development of a new iterative method and its convergence analysis for nonlinear fourth‐order boundary value problems arising in beam analysis

General Neutral Functional Differential Equations of Third Order: Enhanced Oscillation Criteria

Advanced numerical scheme and its convergence analysis for a class of two-point singular boundary value problems

A new pair of block techniques for direct integration of third-order singular IVPs

An optimized algorithm for numerical solution of coupled Burgers equations

An efficient fifth-order block method for solving third-order BVPs

Improved Comparison Theorems for the Oscillation of Even Order Delay Differential Equations and their Applications

A new block method with variable stepsize implementation for solving third‐order differential systems

A conservative algorithm based on a hybrid block method and tension B‐spline differential quadrature method for Rosenau–KdV–RLW equation

A parameter uniform numerical method on a Bakhvalov type mesh for singularly perturbed degenerate parabolic convection–diffusion problems

An optimized hybrid block method for solving nonlinear singularly perturbed problems using non-uniform Jain-type meshes

A robust iterative family for multiple roots of nonlinear equations: Enhancing accuracy and handling critical points

Numerical integration of stiff problems using a new time-efficient hybrid block solver based on collocation and interpolation techniques

A new three-step fixed point iteration scheme with strong convergence and applications

A Pair of Optimized Nyström Methods with Symmetric Hybrid Points for the Numerical Solution of Second-Order Singular Boundary Value Problems

A 14-Order Hybrid Block Method in Variable Step-Size Mode for Solving Second-Order Initial Value Problems

Development of a Higher-Order 𝒜-Stable Block Approach with Symmetric Hybrid Points and an Adaptive Step-Size Strategy for Integrating Differential Systems Efficiently

An efficient technique based on Green’s function for solving two-point boundary value problems and its convergence analysis

Second-Order Robust Numerical Method for a Partially Singularly Perturbed Time-Dependent Reaction–Diffusion System

A Phase- and Amplification-Fitted 5(4) Diagonally Implicit Runge–Kutta–Nyström Pair for Oscillatory Systems

An Improved Oscillation Result for a Class of Higher Order Non-canonical Delay Differential Equations

Numerical treatment of a singularly perturbed 2-D convection-diffusion elliptic problem with Robin-type boundary conditions

Collaborators (4)

Osama Moaaz

Mehakpreet Singh

Bruno Carpentieri

Mufutau Ajani Rufai

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