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Numerical solution of coupled Lane–Emden–Fowler type equation by embedded quasilinearization method with homotopy analysis method
This paper aims to study the solution of coupled Emden-Folwer type equations by embedding the quasilinearization algorithm enclosed by the homotopy...
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On Quasilinearization of Elliptic Monge–Ampère Systems
AbstractThe paper deals with finding of the necessary and sufficient conditions for the local quasilinearizability of elliptic Monge–Ampère systems.
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Hybrid model for the optimal numerical solution of nonlinear ordinary differential systems
In this article, we solve a class of coupled systems of nonlinear differential equations with appropriate initial, boundary, and four-point boundary...
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An iterative technique for a class of Dirichlet nonlinear BVPs: Troesch’s problem
A coupled iterative approach based on quasilinearization and Krasnoselskii–Mann’s approximation for evaluating the solutions of nonlinear two point...
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Initial time difference quasilinearization method for fractional differential equations involving generalized Hilfer fractional derivative
We build the quasilinearization method with initial time difference for nonlinear fractional differential equations (FDEs) involving generalized...
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A parameter-uniform numerical method for singularly perturbed Burgers’ equation
In this article, we propose a parameter-uniformly convergent numerical method for singularly perturbed Burgers’ initial-boundary value problem....
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Effect of Variable Viscosity on Magnetohydrodynamics Mixed Convection Flow from a Vertical Flat Plate
This study aims to examine the outcome of viscosity variations on the transfer of heat from a vertical flat plate and magnetohydrodynamics mixed...
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An efficient analytical iterative technique for solving nonlinear differential equations
In this study, an effective and rapidly convergent analytical technique is introduced to obtain approximate analytical solutions for nonlinear...
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Direct and integrated radial functions based quasilinearization schemes for nonlinear fractional differential equations
In this article, two radial basis functions based collocation schemes, differentiated and integrated methods (DRBF and IRBF), are extended to solve a...
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Micropolar Fluid Flow over a Frustum of Cone Subjected to Convective Boundary Condition: Darcy–Forchheimer Model
This paper emphasizes the Soret and viscous dissipation effects on mixed convective flow of an incompressible micropolar fluid over a vertical...
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Octic B-spline Collocation Scheme for Numerical Investigation of Fifth Order Boundary Value Problems
In this article , the octic B-spline collocation scheme is employed to obtain the approximate solutions of a linear and nonlinear boundary value...
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Numerical solutions of higher order boundary value problems via wavelet approach
This paper presents a numerical scheme based on Haar wavelet for the solutions of higher order linear and nonlinear boundary value problems. In...
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Numerical Studies on Gold-Water Nanofluid Flow with Activation Energy Past A Rotating Disk
The present study examines the steady incompressible gold-water chemically reacting nanofluid with rotating disk in presence of activation energy and...
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An efficient uniformly convergent numerical scheme for singularly perturbed semilinear parabolic problems with large delay in time
This paper introduces a parameter uniform numerical approach for semilinear singularly perturbed partial differential equations with time delay. The...
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Two Novel Bessel Matrix Techniques to Solve the Squeezing Flow Problem between Infinite Parallel Plates
AbstractThis study is concerned with the numerical solutions of the squeezing flow problem which corresponds to fourth-order nonlinear equivalent...
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Chebyshev Wavelets Collocation Method for Extended Fisher Kolmogorov Equations One and Two Space Dimension
In this study, Chebyshev wavelet collocation method has been applied to obtain approximate solution of nonlinear partial differential equations....
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Existence of solutions for fourth-order nonlinear boundary value problems
In this paper, we discuss the existence and approximation of solutions for a fourth-order nonlinear boundary value problem by using a...
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Solving nonlinear differential equations in astrophysics and fluid mechanics using the generalized pseudospectral method
In this study, a combined numerical method is introduced and used to solve nonlinear differential equations. Because of the use of this method of...
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A numerical study on MHD double diffusive nonlinear mixed convective nanofluid flow around a vertical wedge with diffusion of liquid hydrogen
The present study focuses on double diffusive nonlinear (quadratic) mixed convective flow of nanoliquid about vertical wedge with nonlinear...
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Using a cubic B-spline method in conjunction with a one-step optimized hybrid block approach to solve nonlinear partial differential equations
In this paper, we develop an optimized hybrid block method which is combined with a modified cubic B-spline method, for solving non-linear partial...
